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Finding the Fourth Proportional to 2,387.78, 3,583.04 and 1,292.76

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Solution

The fourth proportional to 2,387.78, 3,583.04 and 1,292.76 is: 1,939.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.78 : 3,583.04 = 1,292.76 : x
  2. Step 2: Convert to fraction form
    2,387.78/3,583.04 = 1,292.76/x
  3. Step 3: Cross multiply
    2,387.78x = 3,583.04 × 1,292.76
  4. Step 4: Simplify right side
    2,387.78x = 4,632,004.33
  5. Step 5: Solve for x
    x = 4,632,004.33/2,387.78
  6. Step 6: Final answer
    x = 1,939.88

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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.