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Finding the Fourth Proportional to 2,692.77, 3,711.79 and 2,466.78

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Solution

The fourth proportional to 2,692.77, 3,711.79 and 2,466.78 is: 3,400.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.77 : 3,711.79 = 2,466.78 : x
  2. Step 2: Convert to fraction form
    2,692.77/3,711.79 = 2,466.78/x
  3. Step 3: Cross multiply
    2,692.77x = 3,711.79 × 2,466.78
  4. Step 4: Simplify right side
    2,692.77x = 9,156,169.34
  5. Step 5: Solve for x
    x = 9,156,169.34/2,692.77
  6. Step 6: Final answer
    x = 3,400.28

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1.5x scale

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.