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Finding the Fourth Proportional to 2,681.92, 4,022.82 and 734.11

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Solution

The fourth proportional to 2,681.92, 4,022.82 and 734.11 is: 1,101.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.92 : 4,022.82 = 734.11 : x
  2. Step 2: Convert to fraction form
    2,681.92/4,022.82 = 734.11/x
  3. Step 3: Cross multiply
    2,681.92x = 4,022.82 × 734.11
  4. Step 4: Simplify right side
    2,681.92x = 2,953,192.39
  5. Step 5: Solve for x
    x = 2,953,192.39/2,681.92
  6. Step 6: Final answer
    x = 1,101.15

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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.