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Finding the Fourth Proportional to 10,139.92, 15,188.31 and 4,867.16

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Solution

The fourth proportional to 10,139.92, 15,188.31 and 4,867.16 is: 7,290.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,139.92 : 15,188.31 = 4,867.16 : x
  2. Step 2: Convert to fraction form
    10,139.92/15,188.31 = 4,867.16/x
  3. Step 3: Cross multiply
    10,139.92x = 15,188.31 × 4,867.16
  4. Step 4: Simplify right side
    10,139.92x = 73,923,858.96
  5. Step 5: Solve for x
    x = 73,923,858.96/10,139.92
  6. Step 6: Final answer
    x = 7,290.38

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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.