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Finding the Fourth Proportional to 14,269.92, 19,691.04 and 7,982.88

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Solution

The fourth proportional to 14,269.92, 19,691.04 and 7,982.88 is: 11,015.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,269.92 : 19,691.04 = 7,982.88 : x
  2. Step 2: Convert to fraction form
    14,269.92/19,691.04 = 7,982.88/x
  3. Step 3: Cross multiply
    14,269.92x = 19,691.04 × 7,982.88
  4. Step 4: Simplify right side
    14,269.92x = 157,191,209.40
  5. Step 5: Solve for x
    x = 157,191,209.40/14,269.92
  6. Step 6: Final answer
    x = 11,015.56

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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.