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Finding the Fourth Proportional to 3,242.46, 4,854.31 and 1,904.20

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Solution

The fourth proportional to 3,242.46, 4,854.31 and 1,904.20 is: 2,850.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242.46 : 4,854.31 = 1,904.20 : x
  2. Step 2: Convert to fraction form
    3,242.46/4,854.31 = 1,904.20/x
  3. Step 3: Cross multiply
    3,242.46x = 4,854.31 × 1,904.20
  4. Step 4: Simplify right side
    3,242.46x = 9,243,564.97
  5. Step 5: Solve for x
    x = 9,243,564.97/3,242.46
  6. Step 6: Final answer
    x = 2,850.79

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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.