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Finding the Fourth Proportional to 2,373.78, 3,559.19 and 1,057.48

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Solution

The fourth proportional to 2,373.78, 3,559.19 and 1,057.48 is: 1,585.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.78 : 3,559.19 = 1,057.48 : x
  2. Step 2: Convert to fraction form
    2,373.78/3,559.19 = 1,057.48/x
  3. Step 3: Cross multiply
    2,373.78x = 3,559.19 × 1,057.48
  4. Step 4: Simplify right side
    2,373.78x = 3,763,774.01
  5. Step 5: Solve for x
    x = 3,763,774.01/2,373.78
  6. Step 6: Final answer
    x = 1,585.56

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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.