Home / 5,098.43-7,648.92-1,978.65

Finding the Fourth Proportional to 5,098.43, 7,648.92 and 1,978.65

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Solution

The fourth proportional to 5,098.43, 7,648.92 and 1,978.65 is: 2,968.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.43 : 7,648.92 = 1,978.65 : x
  2. Step 2: Convert to fraction form
    5,098.43/7,648.92 = 1,978.65/x
  3. Step 3: Cross multiply
    5,098.43x = 7,648.92 × 1,978.65
  4. Step 4: Simplify right side
    5,098.43x = 15,134,535.56
  5. Step 5: Solve for x
    x = 15,134,535.56/5,098.43
  6. Step 6: Final answer
    x = 2,968.47

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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.