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Finding the Fourth Proportional to 8,417.68, 12,630 and 3,488.32

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Solution

The fourth proportional to 8,417.68, 12,630 and 3,488.32 is: 5,233.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,417.68 : 12,630 = 3,488.32 : x
  2. Step 2: Convert to fraction form
    8,417.68/12,630 = 3,488.32/x
  3. Step 3: Cross multiply
    8,417.68x = 12,630 × 3,488.32
  4. Step 4: Simplify right side
    8,417.68x = 44,057,481.60
  5. Step 5: Solve for x
    x = 44,057,481.60/8,417.68
  6. Step 6: Final answer
    x = 5,233.92

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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.