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Finding the Fourth Proportional to 14,976, 20,666.88 and 8,352

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Solution

The fourth proportional to 14,976, 20,666.88 and 8,352 is: 11,525.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,976 : 20,666.88 = 8,352 : x
  2. Step 2: Convert to fraction form
    14,976/20,666.88 = 8,352/x
  3. Step 3: Cross multiply
    14,976x = 20,666.88 × 8,352
  4. Step 4: Simplify right side
    14,976x = 172,609,781.76
  5. Step 5: Solve for x
    x = 172,609,781.76/14,976
  6. Step 6: Final answer
    x = 11,525.76

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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.