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Finding the Fourth Proportional to 2,678.52, 3,692.70 and 1,780.41

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Solution

The fourth proportional to 2,678.52, 3,692.70 and 1,780.41 is: 2,454.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.52 : 3,692.70 = 1,780.41 : x
  2. Step 2: Convert to fraction form
    2,678.52/3,692.70 = 1,780.41/x
  3. Step 3: Cross multiply
    2,678.52x = 3,692.70 × 1,780.41
  4. Step 4: Simplify right side
    2,678.52x = 6,574,520.01
  5. Step 5: Solve for x
    x = 6,574,520.01/2,678.52
  6. Step 6: Final answer
    x = 2,454.53

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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.