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Finding the Fourth Proportional to 2,442.87, 3,665.39 and 981.63

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Solution

The fourth proportional to 2,442.87, 3,665.39 and 981.63 is: 1,472.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.87 : 3,665.39 = 981.63 : x
  2. Step 2: Convert to fraction form
    2,442.87/3,665.39 = 981.63/x
  3. Step 3: Cross multiply
    2,442.87x = 3,665.39 × 981.63
  4. Step 4: Simplify right side
    2,442.87x = 3,598,051.88
  5. Step 5: Solve for x
    x = 3,598,051.88/2,442.87
  6. Step 6: Final answer
    x = 1,472.88

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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.