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Finding the Fourth Proportional to 10,117.92, 15,181.20 and 5,728.80

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Solution

The fourth proportional to 10,117.92, 15,181.20 and 5,728.80 is: 8,595.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,117.92 : 15,181.20 = 5,728.80 : x
  2. Step 2: Convert to fraction form
    10,117.92/15,181.20 = 5,728.80/x
  3. Step 3: Cross multiply
    10,117.92x = 15,181.20 × 5,728.80
  4. Step 4: Simplify right side
    10,117.92x = 86,970,058.56
  5. Step 5: Solve for x
    x = 86,970,058.56/10,117.92
  6. Step 6: Final answer
    x = 8,595.65

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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.