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Finding the Fourth Proportional to 8,661.90, 12,984.66 and 7,891.50

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Solution

The fourth proportional to 8,661.90, 12,984.66 and 7,891.50 is: 11,829.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,661.90 : 12,984.66 = 7,891.50 : x
  2. Step 2: Convert to fraction form
    8,661.90/12,984.66 = 7,891.50/x
  3. Step 3: Cross multiply
    8,661.90x = 12,984.66 × 7,891.50
  4. Step 4: Simplify right side
    8,661.90x = 102,468,444.39
  5. Step 5: Solve for x
    x = 102,468,444.39/8,661.90
  6. Step 6: Final answer
    x = 11,829.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.