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Finding the Fourth Proportional to 10,157.14, 15,234.17 and 3,920.11

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Solution

The fourth proportional to 10,157.14, 15,234.17 and 3,920.11 is: 5,879.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,157.14 : 15,234.17 = 3,920.11 : x
  2. Step 2: Convert to fraction form
    10,157.14/15,234.17 = 3,920.11/x
  3. Step 3: Cross multiply
    10,157.14x = 15,234.17 × 3,920.11
  4. Step 4: Simplify right side
    10,157.14x = 59,719,602.56
  5. Step 5: Solve for x
    x = 59,719,602.56/10,157.14
  6. Step 6: Final answer
    x = 5,879.57

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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.