Home / 8,102.89-12,149.47-3,166.65

Finding the Fourth Proportional to 8,102.89, 12,149.47 and 3,166.65

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Solution

The fourth proportional to 8,102.89, 12,149.47 and 3,166.65 is: 4,748.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.89 : 12,149.47 = 3,166.65 : x
  2. Step 2: Convert to fraction form
    8,102.89/12,149.47 = 3,166.65/x
  3. Step 3: Cross multiply
    8,102.89x = 12,149.47 × 3,166.65
  4. Step 4: Simplify right side
    8,102.89x = 38,473,058.43
  5. Step 5: Solve for x
    x = 38,473,058.43/8,102.89
  6. Step 6: Final answer
    x = 4,748.07

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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.