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Finding the Fourth Proportional to 8,086.80, 12,046.74 and 7,842.06

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Solution

The fourth proportional to 8,086.80, 12,046.74 and 7,842.06 is: 11,682.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,086.80 : 12,046.74 = 7,842.06 : x
  2. Step 2: Convert to fraction form
    8,086.80/12,046.74 = 7,842.06/x
  3. Step 3: Cross multiply
    8,086.80x = 12,046.74 × 7,842.06
  4. Step 4: Simplify right side
    8,086.80x = 94,471,257.88
  5. Step 5: Solve for x
    x = 94,471,257.88/8,086.80
  6. Step 6: Final answer
    x = 11,682.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.