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Finding the Fourth Proportional to 28,174.56, 42,264.24 and 7,398

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Solution

The fourth proportional to 28,174.56, 42,264.24 and 7,398 is: 11,097.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,174.56 : 42,264.24 = 7,398 : x
  2. Step 2: Convert to fraction form
    28,174.56/42,264.24 = 7,398/x
  3. Step 3: Cross multiply
    28,174.56x = 42,264.24 × 7,398
  4. Step 4: Simplify right side
    28,174.56x = 312,670,847.52
  5. Step 5: Solve for x
    x = 312,670,847.52/28,174.56
  6. Step 6: Final answer
    x = 11,097.63

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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.