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Finding the Fourth Proportional to 17,868.80, 24,659.02 and 9,911.76

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Solution

The fourth proportional to 17,868.80, 24,659.02 and 9,911.76 is: 13,678.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,868.80 : 24,659.02 = 9,911.76 : x
  2. Step 2: Convert to fraction form
    17,868.80/24,659.02 = 9,911.76/x
  3. Step 3: Cross multiply
    17,868.80x = 24,659.02 × 9,911.76
  4. Step 4: Simplify right side
    17,868.80x = 244,414,288.08
  5. Step 5: Solve for x
    x = 244,414,288.08/17,868.80
  6. Step 6: Final answer
    x = 13,678.27

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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.