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Finding the Fourth Proportional to 7,392.70, 10,194.09 and 6,440.31

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Solution

The fourth proportional to 7,392.70, 10,194.09 and 6,440.31 is: 8,880.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,392.70 : 10,194.09 = 6,440.31 : x
  2. Step 2: Convert to fraction form
    7,392.70/10,194.09 = 6,440.31/x
  3. Step 3: Cross multiply
    7,392.70x = 10,194.09 × 6,440.31
  4. Step 4: Simplify right side
    7,392.70x = 65,653,075.62
  5. Step 5: Solve for x
    x = 65,653,075.62/7,392.70
  6. Step 6: Final answer
    x = 8,880.80

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Half scale
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Double scale
Find fourth proportional to 7,393.70, 10,195.47 and 6,441.31
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.