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Finding the Fourth Proportional to 13,680.72, 20,523.96 and 4,446

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Solution

The fourth proportional to 13,680.72, 20,523.96 and 4,446 is: 6,669.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,680.72 : 20,523.96 = 4,446 : x
  2. Step 2: Convert to fraction form
    13,680.72/20,523.96 = 4,446/x
  3. Step 3: Cross multiply
    13,680.72x = 20,523.96 × 4,446
  4. Step 4: Simplify right side
    13,680.72x = 91,249,526.16
  5. Step 5: Solve for x
    x = 91,249,526.16/13,680.72
  6. Step 6: Final answer
    x = 6,669.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.