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Finding the Fourth Proportional to 16,620, 22,938.54 and 9,909.50

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Solution

The fourth proportional to 16,620, 22,938.54 and 9,909.50 is: 13,676.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,620 : 22,938.54 = 9,909.50 : x
  2. Step 2: Convert to fraction form
    16,620/22,938.54 = 9,909.50/x
  3. Step 3: Cross multiply
    16,620x = 22,938.54 × 9,909.50
  4. Step 4: Simplify right side
    16,620x = 227,309,462.13
  5. Step 5: Solve for x
    x = 227,309,462.13/16,620
  6. Step 6: Final answer
    x = 13,676.86

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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.