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Finding the Fourth Proportional to 10,102.71, 15,151.71 and 3,860.43

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Solution

The fourth proportional to 10,102.71, 15,151.71 and 3,860.43 is: 5,789.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.71 : 15,151.71 = 3,860.43 : x
  2. Step 2: Convert to fraction form
    10,102.71/15,151.71 = 3,860.43/x
  3. Step 3: Cross multiply
    10,102.71x = 15,151.71 × 3,860.43
  4. Step 4: Simplify right side
    10,102.71x = 58,492,115.84
  5. Step 5: Solve for x
    x = 58,492,115.84/10,102.71
  6. Step 6: Final answer
    x = 5,789.75

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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.