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Finding the Fourth Proportional to 10,931, 15,084.78 and 5,963

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Solution

The fourth proportional to 10,931, 15,084.78 and 5,963 is: 8,228.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,931 : 15,084.78 = 5,963 : x
  2. Step 2: Convert to fraction form
    10,931/15,084.78 = 5,963/x
  3. Step 3: Cross multiply
    10,931x = 15,084.78 × 5,963
  4. Step 4: Simplify right side
    10,931x = 89,950,543.14
  5. Step 5: Solve for x
    x = 89,950,543.14/10,931
  6. Step 6: Final answer
    x = 8,228.94

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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.