Home / 1,977.38-2,963.42-1,539.16

Finding the Fourth Proportional to 1,977.38, 2,963.42 and 1,539.16

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Solution

The fourth proportional to 1,977.38, 2,963.42 and 1,539.16 is: 2,306.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.38 : 2,963.42 = 1,539.16 : x
  2. Step 2: Convert to fraction form
    1,977.38/2,963.42 = 1,539.16/x
  3. Step 3: Cross multiply
    1,977.38x = 2,963.42 × 1,539.16
  4. Step 4: Simplify right side
    1,977.38x = 4,561,177.53
  5. Step 5: Solve for x
    x = 4,561,177.53/1,977.38
  6. Step 6: Final answer
    x = 2,306.68

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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.