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Finding the Fourth Proportional to 12,498.64, 17,248.11 and 6,909.64

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Solution

The fourth proportional to 12,498.64, 17,248.11 and 6,909.64 is: 9,535.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,498.64 : 17,248.11 = 6,909.64 : x
  2. Step 2: Convert to fraction form
    12,498.64/17,248.11 = 6,909.64/x
  3. Step 3: Cross multiply
    12,498.64x = 17,248.11 × 6,909.64
  4. Step 4: Simplify right side
    12,498.64x = 119,178,230.78
  5. Step 5: Solve for x
    x = 119,178,230.78/12,498.64
  6. Step 6: Final answer
    x = 9,535.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.