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Finding the Fourth Proportional to 10,978.60, 16,467.90 and 5,141.74

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Solution

The fourth proportional to 10,978.60, 16,467.90 and 5,141.74 is: 7,712.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,978.60 : 16,467.90 = 5,141.74 : x
  2. Step 2: Convert to fraction form
    10,978.60/16,467.90 = 5,141.74/x
  3. Step 3: Cross multiply
    10,978.60x = 16,467.90 × 5,141.74
  4. Step 4: Simplify right side
    10,978.60x = 84,673,660.15
  5. Step 5: Solve for x
    x = 84,673,660.15/10,978.60
  6. Step 6: Final answer
    x = 7,712.61

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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.