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Finding the Fourth Proportional to 1,770.49, 2,666.03 and 1,311.53

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Solution

The fourth proportional to 1,770.49, 2,666.03 and 1,311.53 is: 1,974.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.49 : 2,666.03 = 1,311.53 : x
  2. Step 2: Convert to fraction form
    1,770.49/2,666.03 = 1,311.53/x
  3. Step 3: Cross multiply
    1,770.49x = 2,666.03 × 1,311.53
  4. Step 4: Simplify right side
    1,770.49x = 3,496,558.44
  5. Step 5: Solve for x
    x = 3,496,558.44/1,770.49
  6. Step 6: Final answer
    x = 1,974.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.