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Finding the Fourth Proportional to 1,769.78, 2,442.21 and 983.88

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Solution

The fourth proportional to 1,769.78, 2,442.21 and 983.88 is: 1,357.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.78 : 2,442.21 = 983.88 : x
  2. Step 2: Convert to fraction form
    1,769.78/2,442.21 = 983.88/x
  3. Step 3: Cross multiply
    1,769.78x = 2,442.21 × 983.88
  4. Step 4: Simplify right side
    1,769.78x = 2,402,841.57
  5. Step 5: Solve for x
    x = 2,402,841.57/1,769.78
  6. Step 6: Final answer
    x = 1,357.71

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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.