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Finding the Fourth Proportional to 10,153.81, 13,981.71 and 9,561.97

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Solution

The fourth proportional to 10,153.81, 13,981.71 and 9,561.97 is: 13,166.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,153.81 : 13,981.71 = 9,561.97 : x
  2. Step 2: Convert to fraction form
    10,153.81/13,981.71 = 9,561.97/x
  3. Step 3: Cross multiply
    10,153.81x = 13,981.71 × 9,561.97
  4. Step 4: Simplify right side
    10,153.81x = 133,692,691.57
  5. Step 5: Solve for x
    x = 133,692,691.57/10,153.81
  6. Step 6: Final answer
    x = 13,166.75

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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.