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Finding the Fourth Proportional to 15,630.68, 23,451.42 and 6,864.32

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Solution

The fourth proportional to 15,630.68, 23,451.42 and 6,864.32 is: 10,298.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,630.68 : 23,451.42 = 6,864.32 : x
  2. Step 2: Convert to fraction form
    15,630.68/23,451.42 = 6,864.32/x
  3. Step 3: Cross multiply
    15,630.68x = 23,451.42 × 6,864.32
  4. Step 4: Simplify right side
    15,630.68x = 160,977,934.08
  5. Step 5: Solve for x
    x = 160,977,934.08/15,630.68
  6. Step 6: Final answer
    x = 10,298.85

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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.