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Finding the Fourth Proportional to 12,754.78, 17,605.32 and 8,785.78

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Solution

The fourth proportional to 12,754.78, 17,605.32 and 8,785.78 is: 12,126.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,754.78 : 17,605.32 = 8,785.78 : x
  2. Step 2: Convert to fraction form
    12,754.78/17,605.32 = 8,785.78/x
  3. Step 3: Cross multiply
    12,754.78x = 17,605.32 × 8,785.78
  4. Step 4: Simplify right side
    12,754.78x = 154,676,468.35
  5. Step 5: Solve for x
    x = 154,676,468.35/12,754.78
  6. Step 6: Final answer
    x = 12,126.94

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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.