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Finding the Fourth Proportional to 13,677.52, 20,509.44 and 7,101.88

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Solution

The fourth proportional to 13,677.52, 20,509.44 and 7,101.88 is: 10,649.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,677.52 : 20,509.44 = 7,101.88 : x
  2. Step 2: Convert to fraction form
    13,677.52/20,509.44 = 7,101.88/x
  3. Step 3: Cross multiply
    13,677.52x = 20,509.44 × 7,101.88
  4. Step 4: Simplify right side
    13,677.52x = 145,655,581.75
  5. Step 5: Solve for x
    x = 145,655,581.75/13,677.52
  6. Step 6: Final answer
    x = 10,649.27

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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.