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Finding the Fourth Proportional to 10,473.92, 15,712.32 and 3,078.88

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Solution

The fourth proportional to 10,473.92, 15,712.32 and 3,078.88 is: 4,618.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,473.92 : 15,712.32 = 3,078.88 : x
  2. Step 2: Convert to fraction form
    10,473.92/15,712.32 = 3,078.88/x
  3. Step 3: Cross multiply
    10,473.92x = 15,712.32 × 3,078.88
  4. Step 4: Simplify right side
    10,473.92x = 48,376,347.80
  5. Step 5: Solve for x
    x = 48,376,347.80/10,473.92
  6. Step 6: Final answer
    x = 4,618.74

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Why These Related Problems?

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