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Finding the Fourth Proportional to 6,891.62, 9,515.79 and 5,295.74

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Solution

The fourth proportional to 6,891.62, 9,515.79 and 5,295.74 is: 7,312.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,891.62 : 9,515.79 = 5,295.74 : x
  2. Step 2: Convert to fraction form
    6,891.62/9,515.79 = 5,295.74/x
  3. Step 3: Cross multiply
    6,891.62x = 9,515.79 × 5,295.74
  4. Step 4: Simplify right side
    6,891.62x = 50,393,102.16
  5. Step 5: Solve for x
    x = 50,393,102.16/6,891.62
  6. Step 6: Final answer
    x = 7,312.23

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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.