Home / 2,442.20-3,663.45-981.16

Finding the Fourth Proportional to 2,442.20, 3,663.45 and 981.16

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Solution

The fourth proportional to 2,442.20, 3,663.45 and 981.16 is: 1,471.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.20 : 3,663.45 = 981.16 : x
  2. Step 2: Convert to fraction form
    2,442.20/3,663.45 = 981.16/x
  3. Step 3: Cross multiply
    2,442.20x = 3,663.45 × 981.16
  4. Step 4: Simplify right side
    2,442.20x = 3,594,421.44
  5. Step 5: Solve for x
    x = 3,594,421.44/2,442.20
  6. Step 6: Final answer
    x = 1,471.80

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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.