Home / 1,474.13-2,034.41-977.73

Finding the Fourth Proportional to 1,474.13, 2,034.41 and 977.73

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Solution

The fourth proportional to 1,474.13, 2,034.41 and 977.73 is: 1,349.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.13 : 2,034.41 = 977.73 : x
  2. Step 2: Convert to fraction form
    1,474.13/2,034.41 = 977.73/x
  3. Step 3: Cross multiply
    1,474.13x = 2,034.41 × 977.73
  4. Step 4: Simplify right side
    1,474.13x = 1,989,098.80
  5. Step 5: Solve for x
    x = 1,989,098.80/1,474.13
  6. Step 6: Final answer
    x = 1,349.34

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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.