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Finding the Fourth Proportional to 12,863.74, 17,730.78 and 8,613.28

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Solution

The fourth proportional to 12,863.74, 17,730.78 and 8,613.28 is: 11,872.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,863.74 : 17,730.78 = 8,613.28 : x
  2. Step 2: Convert to fraction form
    12,863.74/17,730.78 = 8,613.28/x
  3. Step 3: Cross multiply
    12,863.74x = 17,730.78 × 8,613.28
  4. Step 4: Simplify right side
    12,863.74x = 152,720,172.76
  5. Step 5: Solve for x
    x = 152,720,172.76/12,863.74
  6. Step 6: Final answer
    x = 11,872.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.