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Finding the Fourth Proportional to 2,781.84, 4,174 and 1,465.28

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Solution

The fourth proportional to 2,781.84, 4,174 and 1,465.28 is: 2,198.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.84 : 4,174 = 1,465.28 : x
  2. Step 2: Convert to fraction form
    2,781.84/4,174 = 1,465.28/x
  3. Step 3: Cross multiply
    2,781.84x = 4,174 × 1,465.28
  4. Step 4: Simplify right side
    2,781.84x = 6,116,078.72
  5. Step 5: Solve for x
    x = 6,116,078.72/2,781.84
  6. Step 6: Final answer
    x = 2,198.57

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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.