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Finding the Fourth Proportional to 29,376, 40,538.88 and 16,128

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Solution

The fourth proportional to 29,376, 40,538.88 and 16,128 is: 22,256.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,376 : 40,538.88 = 16,128 : x
  2. Step 2: Convert to fraction form
    29,376/40,538.88 = 16,128/x
  3. Step 3: Cross multiply
    29,376x = 40,538.88 × 16,128
  4. Step 4: Simplify right side
    29,376x = 653,811,056.64
  5. Step 5: Solve for x
    x = 653,811,056.64/29,376
  6. Step 6: Final answer
    x = 22,256.64

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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.