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Finding the Fourth Proportional to 29,680.64, 40,960 and 16,432.64

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Solution

The fourth proportional to 29,680.64, 40,960 and 16,432.64 is: 22,677.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,680.64 : 40,960 = 16,432.64 : x
  2. Step 2: Convert to fraction form
    29,680.64/40,960 = 16,432.64/x
  3. Step 3: Cross multiply
    29,680.64x = 40,960 × 16,432.64
  4. Step 4: Simplify right side
    29,680.64x = 673,080,934.40
  5. Step 5: Solve for x
    x = 673,080,934.40/29,680.64
  6. Step 6: Final answer
    x = 22,677.44

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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.