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Finding the Fourth Proportional to 8,074.76, 12,109.80 and 3,143.30

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Solution

The fourth proportional to 8,074.76, 12,109.80 and 3,143.30 is: 4,714.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,074.76 : 12,109.80 = 3,143.30 : x
  2. Step 2: Convert to fraction form
    8,074.76/12,109.80 = 3,143.30/x
  3. Step 3: Cross multiply
    8,074.76x = 12,109.80 × 3,143.30
  4. Step 4: Simplify right side
    8,074.76x = 38,064,734.34
  5. Step 5: Solve for x
    x = 38,064,734.34/8,074.76
  6. Step 6: Final answer
    x = 4,714.04

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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.