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Finding the Fourth Proportional to 2,791, 3,851.76 and 1,743.76

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Solution

The fourth proportional to 2,791, 3,851.76 and 1,743.76 is: 2,406.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,791 : 3,851.76 = 1,743.76 : x
  2. Step 2: Convert to fraction form
    2,791/3,851.76 = 1,743.76/x
  3. Step 3: Cross multiply
    2,791x = 3,851.76 × 1,743.76
  4. Step 4: Simplify right side
    2,791x = 6,716,545.02
  5. Step 5: Solve for x
    x = 6,716,545.02/2,791
  6. Step 6: Final answer
    x = 2,406.50

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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.