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Finding the Fourth Proportional to 1,511.74, 2,084.89 and 980.43

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Solution

The fourth proportional to 1,511.74, 2,084.89 and 980.43 is: 1,352.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.74 : 2,084.89 = 980.43 : x
  2. Step 2: Convert to fraction form
    1,511.74/2,084.89 = 980.43/x
  3. Step 3: Cross multiply
    1,511.74x = 2,084.89 × 980.43
  4. Step 4: Simplify right side
    1,511.74x = 2,044,086.14
  5. Step 5: Solve for x
    x = 2,044,086.14/1,511.74
  6. Step 6: Final answer
    x = 1,352.14

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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.