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Finding the Fourth Proportional to 27,350.28, 40,978.32 and 21,358.44

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Solution

The fourth proportional to 27,350.28, 40,978.32 and 21,358.44 is: 32,000.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,350.28 : 40,978.32 = 21,358.44 : x
  2. Step 2: Convert to fraction form
    27,350.28/40,978.32 = 21,358.44/x
  3. Step 3: Cross multiply
    27,350.28x = 40,978.32 × 21,358.44
  4. Step 4: Simplify right side
    27,350.28x = 875,232,989.02
  5. Step 5: Solve for x
    x = 875,232,989.02/27,350.28
  6. Step 6: Final answer
    x = 32,000.88

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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.