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Finding the Fourth Proportional to 2,142.78, 3,214.61 and 681.87

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Solution

The fourth proportional to 2,142.78, 3,214.61 and 681.87 is: 1,022.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.78 : 3,214.61 = 681.87 : x
  2. Step 2: Convert to fraction form
    2,142.78/3,214.61 = 681.87/x
  3. Step 3: Cross multiply
    2,142.78x = 3,214.61 × 681.87
  4. Step 4: Simplify right side
    2,142.78x = 2,191,946.12
  5. Step 5: Solve for x
    x = 2,191,946.12/2,142.78
  6. Step 6: Final answer
    x = 1,022.95

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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.