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Finding the Fourth Proportional to 2,651.77, 3,659.43 and 1,472.83

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Solution

The fourth proportional to 2,651.77, 3,659.43 and 1,472.83 is: 2,032.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.77 : 3,659.43 = 1,472.83 : x
  2. Step 2: Convert to fraction form
    2,651.77/3,659.43 = 1,472.83/x
  3. Step 3: Cross multiply
    2,651.77x = 3,659.43 × 1,472.83
  4. Step 4: Simplify right side
    2,651.77x = 5,389,718.29
  5. Step 5: Solve for x
    x = 5,389,718.29/2,651.77
  6. Step 6: Final answer
    x = 2,032.50

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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.