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Finding the Fourth Proportional to 5,160.78, 7,742.52 and 2,239.65

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Solution

The fourth proportional to 5,160.78, 7,742.52 and 2,239.65 is: 3,360.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,160.78 : 7,742.52 = 2,239.65 : x
  2. Step 2: Convert to fraction form
    5,160.78/7,742.52 = 2,239.65/x
  3. Step 3: Cross multiply
    5,160.78x = 7,742.52 × 2,239.65
  4. Step 4: Simplify right side
    5,160.78x = 17,340,534.92
  5. Step 5: Solve for x
    x = 17,340,534.92/5,160.78
  6. Step 6: Final answer
    x = 3,360.06

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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.