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Finding the Fourth Proportional to 10,025.76, 15,039 and 3,005.85

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Solution

The fourth proportional to 10,025.76, 15,039 and 3,005.85 is: 4,508.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,025.76 : 15,039 = 3,005.85 : x
  2. Step 2: Convert to fraction form
    10,025.76/15,039 = 3,005.85/x
  3. Step 3: Cross multiply
    10,025.76x = 15,039 × 3,005.85
  4. Step 4: Simplify right side
    10,025.76x = 45,204,978.15
  5. Step 5: Solve for x
    x = 45,204,978.15/10,025.76
  6. Step 6: Final answer
    x = 4,508.88

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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.