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Finding the Fourth Proportional to 22,464, 31,000.32 and 12,528

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Solution

The fourth proportional to 22,464, 31,000.32 and 12,528 is: 17,288.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,464 : 31,000.32 = 12,528 : x
  2. Step 2: Convert to fraction form
    22,464/31,000.32 = 12,528/x
  3. Step 3: Cross multiply
    22,464x = 31,000.32 × 12,528
  4. Step 4: Simplify right side
    22,464x = 388,372,008.96
  5. Step 5: Solve for x
    x = 388,372,008.96/22,464
  6. Step 6: Final answer
    x = 17,288.64

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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.