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Finding the Fourth Proportional to 13,700.32, 20,552.88 and 5,909.44

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Solution

The fourth proportional to 13,700.32, 20,552.88 and 5,909.44 is: 8,865.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,700.32 : 20,552.88 = 5,909.44 : x
  2. Step 2: Convert to fraction form
    13,700.32/20,552.88 = 5,909.44/x
  3. Step 3: Cross multiply
    13,700.32x = 20,552.88 × 5,909.44
  4. Step 4: Simplify right side
    13,700.32x = 121,456,011.19
  5. Step 5: Solve for x
    x = 121,456,011.19/13,700.32
  6. Step 6: Final answer
    x = 8,865.20

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