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Finding the Fourth Proportional to 5,648.92, 7,795.39 and 3,131.01

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Solution

The fourth proportional to 5,648.92, 7,795.39 and 3,131.01 is: 4,320.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.92 : 7,795.39 = 3,131.01 : x
  2. Step 2: Convert to fraction form
    5,648.92/7,795.39 = 3,131.01/x
  3. Step 3: Cross multiply
    5,648.92x = 7,795.39 × 3,131.01
  4. Step 4: Simplify right side
    5,648.92x = 24,407,422.90
  5. Step 5: Solve for x
    x = 24,407,422.90/5,648.92
  6. Step 6: Final answer
    x = 4,320.72

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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.