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Finding the Fourth Proportional to 3,577, 4,937.88 and 2,252.65

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Solution

The fourth proportional to 3,577, 4,937.88 and 2,252.65 is: 3,109.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577 : 4,937.88 = 2,252.65 : x
  2. Step 2: Convert to fraction form
    3,577/4,937.88 = 2,252.65/x
  3. Step 3: Cross multiply
    3,577x = 4,937.88 × 2,252.65
  4. Step 4: Simplify right side
    3,577x = 11,123,315.38
  5. Step 5: Solve for x
    x = 11,123,315.38/3,577
  6. Step 6: Final answer
    x = 3,109.68

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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.