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Finding the Fourth Proportional to 3,537.80, 4,882.53 and 1,965.89

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Solution

The fourth proportional to 3,537.80, 4,882.53 and 1,965.89 is: 2,713.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.80 : 4,882.53 = 1,965.89 : x
  2. Step 2: Convert to fraction form
    3,537.80/4,882.53 = 1,965.89/x
  3. Step 3: Cross multiply
    3,537.80x = 4,882.53 × 1,965.89
  4. Step 4: Simplify right side
    3,537.80x = 9,598,492.49
  5. Step 5: Solve for x
    x = 9,598,492.49/3,537.80
  6. Step 6: Final answer
    x = 2,713.13

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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.