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Finding the Fourth Proportional to 2,740.71, 4,103.76 and 2,141.76

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Solution

The fourth proportional to 2,740.71, 4,103.76 and 2,141.76 is: 3,206.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.71 : 4,103.76 = 2,141.76 : x
  2. Step 2: Convert to fraction form
    2,740.71/4,103.76 = 2,141.76/x
  3. Step 3: Cross multiply
    2,740.71x = 4,103.76 × 2,141.76
  4. Step 4: Simplify right side
    2,740.71x = 8,789,269.02
  5. Step 5: Solve for x
    x = 8,789,269.02/2,740.71
  6. Step 6: Final answer
    x = 3,206.93

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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.