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Finding the Fourth Proportional to 8,166.02, 12,254.49 and 2,971.89

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Solution

The fourth proportional to 8,166.02, 12,254.49 and 2,971.89 is: 4,459.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,166.02 : 12,254.49 = 2,971.89 : x
  2. Step 2: Convert to fraction form
    8,166.02/12,254.49 = 2,971.89/x
  3. Step 3: Cross multiply
    8,166.02x = 12,254.49 × 2,971.89
  4. Step 4: Simplify right side
    8,166.02x = 36,418,996.29
  5. Step 5: Solve for x
    x = 36,418,996.29/8,166.02
  6. Step 6: Final answer
    x = 4,459.82

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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.