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Finding the Fourth Proportional to 8,437.91, 12,658.75 and 3,243.65

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Solution

The fourth proportional to 8,437.91, 12,658.75 and 3,243.65 is: 4,866.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,437.91 : 12,658.75 = 3,243.65 : x
  2. Step 2: Convert to fraction form
    8,437.91/12,658.75 = 3,243.65/x
  3. Step 3: Cross multiply
    8,437.91x = 12,658.75 × 3,243.65
  4. Step 4: Simplify right side
    8,437.91x = 41,060,483.03
  5. Step 5: Solve for x
    x = 41,060,483.03/8,437.91
  6. Step 6: Final answer
    x = 4,866.19

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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.