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Finding the Fourth Proportional to 3,773.50, 5,207.49 and 2,977.66

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Solution

The fourth proportional to 3,773.50, 5,207.49 and 2,977.66 is: 4,109.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.50 : 5,207.49 = 2,977.66 : x
  2. Step 2: Convert to fraction form
    3,773.50/5,207.49 = 2,977.66/x
  3. Step 3: Cross multiply
    3,773.50x = 5,207.49 × 2,977.66
  4. Step 4: Simplify right side
    3,773.50x = 15,506,134.67
  5. Step 5: Solve for x
    x = 15,506,134.67/3,773.50
  6. Step 6: Final answer
    x = 4,109.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.