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Finding the Fourth Proportional to 12,407, 17,116.80 and 7,098.96

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Solution

The fourth proportional to 12,407, 17,116.80 and 7,098.96 is: 9,793.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407 : 17,116.80 = 7,098.96 : x
  2. Step 2: Convert to fraction form
    12,407/17,116.80 = 7,098.96/x
  3. Step 3: Cross multiply
    12,407x = 17,116.80 × 7,098.96
  4. Step 4: Simplify right side
    12,407x = 121,511,478.53
  5. Step 5: Solve for x
    x = 121,511,478.53/12,407
  6. Step 6: Final answer
    x = 9,793.78

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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.