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Finding the Fourth Proportional to 8,287, 12,430.62 and 3,092.92

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Solution

The fourth proportional to 8,287, 12,430.62 and 3,092.92 is: 4,639.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287 : 12,430.62 = 3,092.92 : x
  2. Step 2: Convert to fraction form
    8,287/12,430.62 = 3,092.92/x
  3. Step 3: Cross multiply
    8,287x = 12,430.62 × 3,092.92
  4. Step 4: Simplify right side
    8,287x = 38,446,913.21
  5. Step 5: Solve for x
    x = 38,446,913.21/8,287
  6. Step 6: Final answer
    x = 4,639.42

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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.