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Finding the Fourth Proportional to 13,655.48, 20,489.49 and 6,262.20

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Solution

The fourth proportional to 13,655.48, 20,489.49 and 6,262.20 is: 9,396.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,655.48 : 20,489.49 = 6,262.20 : x
  2. Step 2: Convert to fraction form
    13,655.48/20,489.49 = 6,262.20/x
  3. Step 3: Cross multiply
    13,655.48x = 20,489.49 × 6,262.20
  4. Step 4: Simplify right side
    13,655.48x = 128,309,284.28
  5. Step 5: Solve for x
    x = 128,309,284.28/13,655.48
  6. Step 6: Final answer
    x = 9,396.18

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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.