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Finding the Fourth Proportional to 8,345.52, 12,523.14 and 3,151.80

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Solution

The fourth proportional to 8,345.52, 12,523.14 and 3,151.80 is: 4,729.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,345.52 : 12,523.14 = 3,151.80 : x
  2. Step 2: Convert to fraction form
    8,345.52/12,523.14 = 3,151.80/x
  3. Step 3: Cross multiply
    8,345.52x = 12,523.14 × 3,151.80
  4. Step 4: Simplify right side
    8,345.52x = 39,470,432.65
  5. Step 5: Solve for x
    x = 39,470,432.65/8,345.52
  6. Step 6: Final answer
    x = 4,729.54

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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.