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Finding the Fourth Proportional to 1,769.84, 2,442.31 and 983.83

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Solution

The fourth proportional to 1,769.84, 2,442.31 and 983.83 is: 1,357.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.84 : 2,442.31 = 983.83 : x
  2. Step 2: Convert to fraction form
    1,769.84/2,442.31 = 983.83/x
  3. Step 3: Cross multiply
    1,769.84x = 2,442.31 × 983.83
  4. Step 4: Simplify right side
    1,769.84x = 2,402,817.85
  5. Step 5: Solve for x
    x = 2,402,817.85/1,769.84
  6. Step 6: Final answer
    x = 1,357.65

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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.