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Finding the Fourth Proportional to 2,651.78, 3,659.67 and 1,472.92

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Solution

The fourth proportional to 2,651.78, 3,659.67 and 1,472.92 is: 2,032.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.78 : 3,659.67 = 1,472.92 : x
  2. Step 2: Convert to fraction form
    2,651.78/3,659.67 = 1,472.92/x
  3. Step 3: Cross multiply
    2,651.78x = 3,659.67 × 1,472.92
  4. Step 4: Simplify right side
    2,651.78x = 5,390,401.14
  5. Step 5: Solve for x
    x = 5,390,401.14/2,651.78
  6. Step 6: Final answer
    x = 2,032.75

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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.