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Finding the Fourth Proportional to 13,658.86, 20,489.01 and 7,821.10

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Solution

The fourth proportional to 13,658.86, 20,489.01 and 7,821.10 is: 11,732.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,658.86 : 20,489.01 = 7,821.10 : x
  2. Step 2: Convert to fraction form
    13,658.86/20,489.01 = 7,821.10/x
  3. Step 3: Cross multiply
    13,658.86x = 20,489.01 × 7,821.10
  4. Step 4: Simplify right side
    13,658.86x = 160,246,596.11
  5. Step 5: Solve for x
    x = 160,246,596.11/13,658.86
  6. Step 6: Final answer
    x = 11,732.06

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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.