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Finding the Fourth Proportional to 3,769.98, 5,655.91 and 2,211.28

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Solution

The fourth proportional to 3,769.98, 5,655.91 and 2,211.28 is: 3,317.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.98 : 5,655.91 = 2,211.28 : x
  2. Step 2: Convert to fraction form
    3,769.98/5,655.91 = 2,211.28/x
  3. Step 3: Cross multiply
    3,769.98x = 5,655.91 × 2,211.28
  4. Step 4: Simplify right side
    3,769.98x = 12,506,800.66
  5. Step 5: Solve for x
    x = 12,506,800.66/3,769.98
  6. Step 6: Final answer
    x = 3,317.47

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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.