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Finding the Fourth Proportional to 13,654.90, 20,472.90 and 6,975.10

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Solution

The fourth proportional to 13,654.90, 20,472.90 and 6,975.10 is: 10,457.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,654.90 : 20,472.90 = 6,975.10 : x
  2. Step 2: Convert to fraction form
    13,654.90/20,472.90 = 6,975.10/x
  3. Step 3: Cross multiply
    13,654.90x = 20,472.90 × 6,975.10
  4. Step 4: Simplify right side
    13,654.90x = 142,800,524.79
  5. Step 5: Solve for x
    x = 142,800,524.79/13,654.90
  6. Step 6: Final answer
    x = 10,457.82

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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.