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Finding the Fourth Proportional to 13,049.86, 18,008.76 and 7,081.42

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Solution

The fourth proportional to 13,049.86, 18,008.76 and 7,081.42 is: 9,772.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,049.86 : 18,008.76 = 7,081.42 : x
  2. Step 2: Convert to fraction form
    13,049.86/18,008.76 = 7,081.42/x
  3. Step 3: Cross multiply
    13,049.86x = 18,008.76 × 7,081.42
  4. Step 4: Simplify right side
    13,049.86x = 127,527,593.24
  5. Step 5: Solve for x
    x = 127,527,593.24/13,049.86
  6. Step 6: Final answer
    x = 9,772.33

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Half scale
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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.