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Finding the Fourth Proportional to 2,442.62, 3,663.63 and 981.32

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Solution

The fourth proportional to 2,442.62, 3,663.63 and 981.32 is: 1,471.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.62 : 3,663.63 = 981.32 : x
  2. Step 2: Convert to fraction form
    2,442.62/3,663.63 = 981.32/x
  3. Step 3: Cross multiply
    2,442.62x = 3,663.63 × 981.32
  4. Step 4: Simplify right side
    2,442.62x = 3,595,175.07
  5. Step 5: Solve for x
    x = 3,595,175.07/2,442.62
  6. Step 6: Final answer
    x = 1,471.85

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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.