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Finding the Fourth Proportional to 7,551.50, 10,420.38 and 4,194.23

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Solution

The fourth proportional to 7,551.50, 10,420.38 and 4,194.23 is: 5,787.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,551.50 : 10,420.38 = 4,194.23 : x
  2. Step 2: Convert to fraction form
    7,551.50/10,420.38 = 4,194.23/x
  3. Step 3: Cross multiply
    7,551.50x = 10,420.38 × 4,194.23
  4. Step 4: Simplify right side
    7,551.50x = 43,705,418.31
  5. Step 5: Solve for x
    x = 43,705,418.31/7,551.50
  6. Step 6: Final answer
    x = 5,787.65

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Half scale
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Double scale
Find fourth proportional to 7,552.50, 10,421.76 and 4,195.23
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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.