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Finding the Fourth Proportional to 8,181.90, 12,274.92 and 2,339.01

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Solution

The fourth proportional to 8,181.90, 12,274.92 and 2,339.01 is: 3,509.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,181.90 : 12,274.92 = 2,339.01 : x
  2. Step 2: Convert to fraction form
    8,181.90/12,274.92 = 2,339.01/x
  3. Step 3: Cross multiply
    8,181.90x = 12,274.92 × 2,339.01
  4. Step 4: Simplify right side
    8,181.90x = 28,711,160.63
  5. Step 5: Solve for x
    x = 28,711,160.63/8,181.90
  6. Step 6: Final answer
    x = 3,509.11

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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.