Home / 1,502.44-2,073.64-1,147.78

Finding the Fourth Proportional to 1,502.44, 2,073.64 and 1,147.78

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Solution

The fourth proportional to 1,502.44, 2,073.64 and 1,147.78 is: 1,584.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.44 : 2,073.64 = 1,147.78 : x
  2. Step 2: Convert to fraction form
    1,502.44/2,073.64 = 1,147.78/x
  3. Step 3: Cross multiply
    1,502.44x = 2,073.64 × 1,147.78
  4. Step 4: Simplify right side
    1,502.44x = 2,380,082.52
  5. Step 5: Solve for x
    x = 2,380,082.52/1,502.44
  6. Step 6: Final answer
    x = 1,584.14

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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.