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Finding the Fourth Proportional to 10,431.84, 15,566.88 and 9,324

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Solution

The fourth proportional to 10,431.84, 15,566.88 and 9,324 is: 13,913.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,431.84 : 15,566.88 = 9,324 : x
  2. Step 2: Convert to fraction form
    10,431.84/15,566.88 = 9,324/x
  3. Step 3: Cross multiply
    10,431.84x = 15,566.88 × 9,324
  4. Step 4: Simplify right side
    10,431.84x = 145,145,589.12
  5. Step 5: Solve for x
    x = 145,145,589.12/10,431.84
  6. Step 6: Final answer
    x = 13,913.71

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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.