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Finding the Fourth Proportional to 8,728.77, 11,967.16 and 8,570.82

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Solution

The fourth proportional to 8,728.77, 11,967.16 and 8,570.82 is: 11,750.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,728.77 : 11,967.16 = 8,570.82 : x
  2. Step 2: Convert to fraction form
    8,728.77/11,967.16 = 8,570.82/x
  3. Step 3: Cross multiply
    8,728.77x = 11,967.16 × 8,570.82
  4. Step 4: Simplify right side
    8,728.77x = 102,568,374.27
  5. Step 5: Solve for x
    x = 102,568,374.27/8,728.77
  6. Step 6: Final answer
    x = 11,750.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.