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Finding the Fourth Proportional to 12,758.57, 17,600.69 and 8,283.73

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Solution

The fourth proportional to 12,758.57, 17,600.69 and 8,283.73 is: 11,427.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,758.57 : 17,600.69 = 8,283.73 : x
  2. Step 2: Convert to fraction form
    12,758.57/17,600.69 = 8,283.73/x
  3. Step 3: Cross multiply
    12,758.57x = 17,600.69 × 8,283.73
  4. Step 4: Simplify right side
    12,758.57x = 145,799,373.48
  5. Step 5: Solve for x
    x = 145,799,373.48/12,758.57
  6. Step 6: Final answer
    x = 11,427.56

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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.