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Finding the Fourth Proportional to 10,439.84, 15,578.82 and 9,332

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Solution

The fourth proportional to 10,439.84, 15,578.82 and 9,332 is: 13,925.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,439.84 : 15,578.82 = 9,332 : x
  2. Step 2: Convert to fraction form
    10,439.84/15,578.82 = 9,332/x
  3. Step 3: Cross multiply
    10,439.84x = 15,578.82 × 9,332
  4. Step 4: Simplify right side
    10,439.84x = 145,381,548.24
  5. Step 5: Solve for x
    x = 145,381,548.24/10,439.84
  6. Step 6: Final answer
    x = 13,925.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.