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Finding the Fourth Proportional to 10,380.96, 15,565.68 and 3,451.68

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Solution

The fourth proportional to 10,380.96, 15,565.68 and 3,451.68 is: 5,175.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,380.96 : 15,565.68 = 3,451.68 : x
  2. Step 2: Convert to fraction form
    10,380.96/15,565.68 = 3,451.68/x
  3. Step 3: Cross multiply
    10,380.96x = 15,565.68 × 3,451.68
  4. Step 4: Simplify right side
    10,380.96x = 53,727,746.34
  5. Step 5: Solve for x
    x = 53,727,746.34/10,380.96
  6. Step 6: Final answer
    x = 5,175.60

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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.