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Finding the Fourth Proportional to 3,242.74, 4,868.96 and 1,857.64

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Solution

The fourth proportional to 3,242.74, 4,868.96 and 1,857.64 is: 2,789.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242.74 : 4,868.96 = 1,857.64 : x
  2. Step 2: Convert to fraction form
    3,242.74/4,868.96 = 1,857.64/x
  3. Step 3: Cross multiply
    3,242.74x = 4,868.96 × 1,857.64
  4. Step 4: Simplify right side
    3,242.74x = 9,044,774.85
  5. Step 5: Solve for x
    x = 9,044,774.85/3,242.74
  6. Step 6: Final answer
    x = 2,789.24

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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.