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Finding the Fourth Proportional to 12,761.37, 17,616.87 and 8,514.90

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Solution

The fourth proportional to 12,761.37, 17,616.87 and 8,514.90 is: 11,754.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,761.37 : 17,616.87 = 8,514.90 : x
  2. Step 2: Convert to fraction form
    12,761.37/17,616.87 = 8,514.90/x
  3. Step 3: Cross multiply
    12,761.37x = 17,616.87 × 8,514.90
  4. Step 4: Simplify right side
    12,761.37x = 150,005,886.36
  5. Step 5: Solve for x
    x = 150,005,886.36/12,761.37
  6. Step 6: Final answer
    x = 11,754.69

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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.