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Finding the Fourth Proportional to 13,862.96, 20,793.80 and 5,097.24

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Solution

The fourth proportional to 13,862.96, 20,793.80 and 5,097.24 is: 7,645.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,862.96 : 20,793.80 = 5,097.24 : x
  2. Step 2: Convert to fraction form
    13,862.96/20,793.80 = 5,097.24/x
  3. Step 3: Cross multiply
    13,862.96x = 20,793.80 × 5,097.24
  4. Step 4: Simplify right side
    13,862.96x = 105,990,989.11
  5. Step 5: Solve for x
    x = 105,990,989.11/13,862.96
  6. Step 6: Final answer
    x = 7,645.62

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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.