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Finding the Fourth Proportional to 14,647.39, 20,213.15 and 7,932.96

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Solution

The fourth proportional to 14,647.39, 20,213.15 and 7,932.96 is: 10,947.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,647.39 : 20,213.15 = 7,932.96 : x
  2. Step 2: Convert to fraction form
    14,647.39/20,213.15 = 7,932.96/x
  3. Step 3: Cross multiply
    14,647.39x = 20,213.15 × 7,932.96
  4. Step 4: Simplify right side
    14,647.39x = 160,350,070.76
  5. Step 5: Solve for x
    x = 160,350,070.76/14,647.39
  6. Step 6: Final answer
    x = 10,947.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.