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Finding the Fourth Proportional to 8,459.62, 11,654.82 and 8,065.96

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Solution

The fourth proportional to 8,459.62, 11,654.82 and 8,065.96 is: 11,112.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,459.62 : 11,654.82 = 8,065.96 : x
  2. Step 2: Convert to fraction form
    8,459.62/11,654.82 = 8,065.96/x
  3. Step 3: Cross multiply
    8,459.62x = 11,654.82 × 8,065.96
  4. Step 4: Simplify right side
    8,459.62x = 94,007,282.79
  5. Step 5: Solve for x
    x = 94,007,282.79/8,459.62
  6. Step 6: Final answer
    x = 11,112.47

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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.