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Finding the Fourth Proportional to 8,486.25, 12,717.09 and 7,443.78

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Solution

The fourth proportional to 8,486.25, 12,717.09 and 7,443.78 is: 11,154.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,486.25 : 12,717.09 = 7,443.78 : x
  2. Step 2: Convert to fraction form
    8,486.25/12,717.09 = 7,443.78/x
  3. Step 3: Cross multiply
    8,486.25x = 12,717.09 × 7,443.78
  4. Step 4: Simplify right side
    8,486.25x = 94,663,220.20
  5. Step 5: Solve for x
    x = 94,663,220.20/8,486.25
  6. Step 6: Final answer
    x = 11,154.89

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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.