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Finding the Fourth Proportional to 3,549.63, 4,898.49 and 1,978.03

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Solution

The fourth proportional to 3,549.63, 4,898.49 and 1,978.03 is: 2,729.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549.63 : 4,898.49 = 1,978.03 : x
  2. Step 2: Convert to fraction form
    3,549.63/4,898.49 = 1,978.03/x
  3. Step 3: Cross multiply
    3,549.63x = 4,898.49 × 1,978.03
  4. Step 4: Simplify right side
    3,549.63x = 9,689,360.17
  5. Step 5: Solve for x
    x = 9,689,360.17/3,549.63
  6. Step 6: Final answer
    x = 2,729.68

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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.