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Finding the Fourth Proportional to 8,184.92, 12,282.90 and 2,991.32

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Solution

The fourth proportional to 8,184.92, 12,282.90 and 2,991.32 is: 4,489.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184.92 : 12,282.90 = 2,991.32 : x
  2. Step 2: Convert to fraction form
    8,184.92/12,282.90 = 2,991.32/x
  3. Step 3: Cross multiply
    8,184.92x = 12,282.90 × 2,991.32
  4. Step 4: Simplify right side
    8,184.92x = 36,742,084.43
  5. Step 5: Solve for x
    x = 36,742,084.43/8,184.92
  6. Step 6: Final answer
    x = 4,489.00

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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.