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Finding the Fourth Proportional to 2,660.86, 3,672.02 and 1,541.88

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Solution

The fourth proportional to 2,660.86, 3,672.02 and 1,541.88 is: 2,127.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.86 : 3,672.02 = 1,541.88 : x
  2. Step 2: Convert to fraction form
    2,660.86/3,672.02 = 1,541.88/x
  3. Step 3: Cross multiply
    2,660.86x = 3,672.02 × 1,541.88
  4. Step 4: Simplify right side
    2,660.86x = 5,661,804.28
  5. Step 5: Solve for x
    x = 5,661,804.28/2,660.86
  6. Step 6: Final answer
    x = 2,127.81

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Why These Related Problems?

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