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Finding the Fourth Proportional to 2,472, 3,410.42 and 1,633.10

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Solution

The fourth proportional to 2,472, 3,410.42 and 1,633.10 is: 2,253.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472 : 3,410.42 = 1,633.10 : x
  2. Step 2: Convert to fraction form
    2,472/3,410.42 = 1,633.10/x
  3. Step 3: Cross multiply
    2,472x = 3,410.42 × 1,633.10
  4. Step 4: Simplify right side
    2,472x = 5,569,556.90
  5. Step 5: Solve for x
    x = 5,569,556.90/2,472
  6. Step 6: Final answer
    x = 2,253.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.