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Finding the Fourth Proportional to 13,609.92, 18,780.38 and 7,640.48

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Solution

The fourth proportional to 13,609.92, 18,780.38 and 7,640.48 is: 10,543.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,609.92 : 18,780.38 = 7,640.48 : x
  2. Step 2: Convert to fraction form
    13,609.92/18,780.38 = 7,640.48/x
  3. Step 3: Cross multiply
    13,609.92x = 18,780.38 × 7,640.48
  4. Step 4: Simplify right side
    13,609.92x = 143,491,117.78
  5. Step 5: Solve for x
    x = 143,491,117.78/13,609.92
  6. Step 6: Final answer
    x = 10,543.13

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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.