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Finding the Fourth Proportional to 8,339, 12,508.49 and 3,143.66

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Solution

The fourth proportional to 8,339, 12,508.49 and 3,143.66 is: 4,715.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,339 : 12,508.49 = 3,143.66 : x
  2. Step 2: Convert to fraction form
    8,339/12,508.49 = 3,143.66/x
  3. Step 3: Cross multiply
    8,339x = 12,508.49 × 3,143.66
  4. Step 4: Simplify right side
    8,339x = 39,322,439.67
  5. Step 5: Solve for x
    x = 39,322,439.67/8,339
  6. Step 6: Final answer
    x = 4,715.49

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Double scale
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1.5x scale

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.