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Finding the Fourth Proportional to 1,753.78, 2,624.19 and 1,442.74

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Solution

The fourth proportional to 1,753.78, 2,624.19 and 1,442.74 is: 2,158.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.78 : 2,624.19 = 1,442.74 : x
  2. Step 2: Convert to fraction form
    1,753.78/2,624.19 = 1,442.74/x
  3. Step 3: Cross multiply
    1,753.78x = 2,624.19 × 1,442.74
  4. Step 4: Simplify right side
    1,753.78x = 3,786,023.88
  5. Step 5: Solve for x
    x = 3,786,023.88/1,753.78
  6. Step 6: Final answer
    x = 2,158.78

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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.