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Finding the Fourth Proportional to 29,328, 40,472.64 and 16,080

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Solution

The fourth proportional to 29,328, 40,472.64 and 16,080 is: 22,190.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,328 : 40,472.64 = 16,080 : x
  2. Step 2: Convert to fraction form
    29,328/40,472.64 = 16,080/x
  3. Step 3: Cross multiply
    29,328x = 40,472.64 × 16,080
  4. Step 4: Simplify right side
    29,328x = 650,800,051.20
  5. Step 5: Solve for x
    x = 650,800,051.20/29,328
  6. Step 6: Final answer
    x = 22,190.40

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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.