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Finding the Fourth Proportional to 1,777.38, 2,452.80 and 991.50

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Solution

The fourth proportional to 1,777.38, 2,452.80 and 991.50 is: 1,368.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.38 : 2,452.80 = 991.50 : x
  2. Step 2: Convert to fraction form
    1,777.38/2,452.80 = 991.50/x
  3. Step 3: Cross multiply
    1,777.38x = 2,452.80 × 991.50
  4. Step 4: Simplify right side
    1,777.38x = 2,431,951.20
  5. Step 5: Solve for x
    x = 2,431,951.20/1,777.38
  6. Step 6: Final answer
    x = 1,368.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.