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Finding the Fourth Proportional to 8,044.08, 12,070.44 and 3,426

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Solution

The fourth proportional to 8,044.08, 12,070.44 and 3,426 is: 5,140.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,044.08 : 12,070.44 = 3,426 : x
  2. Step 2: Convert to fraction form
    8,044.08/12,070.44 = 3,426/x
  3. Step 3: Cross multiply
    8,044.08x = 12,070.44 × 3,426
  4. Step 4: Simplify right side
    8,044.08x = 41,353,327.44
  5. Step 5: Solve for x
    x = 41,353,327.44/8,044.08
  6. Step 6: Final answer
    x = 5,140.84

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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.