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Finding the Fourth Proportional to 10,356.71, 15,522.10 and 8,156.75

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Solution

The fourth proportional to 10,356.71, 15,522.10 and 8,156.75 is: 12,224.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.71 : 15,522.10 = 8,156.75 : x
  2. Step 2: Convert to fraction form
    10,356.71/15,522.10 = 8,156.75/x
  3. Step 3: Cross multiply
    10,356.71x = 15,522.10 × 8,156.75
  4. Step 4: Simplify right side
    10,356.71x = 126,609,791.17
  5. Step 5: Solve for x
    x = 126,609,791.17/10,356.71
  6. Step 6: Final answer
    x = 12,224.91

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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.