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Finding the Fourth Proportional to 10,391.91, 15,593.12 and 5,197.38

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Solution

The fourth proportional to 10,391.91, 15,593.12 and 5,197.38 is: 7,798.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,391.91 : 15,593.12 = 5,197.38 : x
  2. Step 2: Convert to fraction form
    10,391.91/15,593.12 = 5,197.38/x
  3. Step 3: Cross multiply
    10,391.91x = 15,593.12 × 5,197.38
  4. Step 4: Simplify right side
    10,391.91x = 81,043,370.03
  5. Step 5: Solve for x
    x = 81,043,370.03/10,391.91
  6. Step 6: Final answer
    x = 7,798.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.