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Finding the Fourth Proportional to 8,324.84, 12,486 and 3,129.50

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Solution

The fourth proportional to 8,324.84, 12,486 and 3,129.50 is: 4,693.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324.84 : 12,486 = 3,129.50 : x
  2. Step 2: Convert to fraction form
    8,324.84/12,486 = 3,129.50/x
  3. Step 3: Cross multiply
    8,324.84x = 12,486 × 3,129.50
  4. Step 4: Simplify right side
    8,324.84x = 39,074,937
  5. Step 5: Solve for x
    x = 39,074,937/8,324.84
  6. Step 6: Final answer
    x = 4,693.78

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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.