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Finding the Fourth Proportional to 10,505.70, 15,758.10 and 3,931.92

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Solution

The fourth proportional to 10,505.70, 15,758.10 and 3,931.92 is: 5,897.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.70 : 15,758.10 = 3,931.92 : x
  2. Step 2: Convert to fraction form
    10,505.70/15,758.10 = 3,931.92/x
  3. Step 3: Cross multiply
    10,505.70x = 15,758.10 × 3,931.92
  4. Step 4: Simplify right side
    10,505.70x = 61,959,588.55
  5. Step 5: Solve for x
    x = 61,959,588.55/10,505.70
  6. Step 6: Final answer
    x = 5,897.71

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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.