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Finding the Fourth Proportional to 18,490.64, 27,731.90 and 5,340.15

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Solution

The fourth proportional to 18,490.64, 27,731.90 and 5,340.15 is: 8,009.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,490.64 : 27,731.90 = 5,340.15 : x
  2. Step 2: Convert to fraction form
    18,490.64/27,731.90 = 5,340.15/x
  3. Step 3: Cross multiply
    18,490.64x = 27,731.90 × 5,340.15
  4. Step 4: Simplify right side
    18,490.64x = 148,092,519.14
  5. Step 5: Solve for x
    x = 148,092,519.14/18,490.64
  6. Step 6: Final answer
    x = 8,009.06

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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.