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Finding the Fourth Proportional to 11,648.80, 17,439.48 and 10,446.92

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Solution

The fourth proportional to 11,648.80, 17,439.48 and 10,446.92 is: 15,640.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.80 : 17,439.48 = 10,446.92 : x
  2. Step 2: Convert to fraction form
    11,648.80/17,439.48 = 10,446.92/x
  3. Step 3: Cross multiply
    11,648.80x = 17,439.48 × 10,446.92
  4. Step 4: Simplify right side
    11,648.80x = 182,188,852.40
  5. Step 5: Solve for x
    x = 182,188,852.40/11,648.80
  6. Step 6: Final answer
    x = 15,640.14

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1.5x scale

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.