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Finding the Fourth Proportional to 4,812.50, 6,642.38 and 3,131

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Solution

The fourth proportional to 4,812.50, 6,642.38 and 3,131 is: 4,321.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,812.50 : 6,642.38 = 3,131 : x
  2. Step 2: Convert to fraction form
    4,812.50/6,642.38 = 3,131/x
  3. Step 3: Cross multiply
    4,812.50x = 6,642.38 × 3,131
  4. Step 4: Simplify right side
    4,812.50x = 20,797,291.78
  5. Step 5: Solve for x
    x = 20,797,291.78/4,812.50
  6. Step 6: Final answer
    x = 4,321.52

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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.