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Finding the Fourth Proportional to 2,692.18, 3,713.07 and 2,167.30

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Solution

The fourth proportional to 2,692.18, 3,713.07 and 2,167.30 is: 2,989.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.18 : 3,713.07 = 2,167.30 : x
  2. Step 2: Convert to fraction form
    2,692.18/3,713.07 = 2,167.30/x
  3. Step 3: Cross multiply
    2,692.18x = 3,713.07 × 2,167.30
  4. Step 4: Simplify right side
    2,692.18x = 8,047,336.61
  5. Step 5: Solve for x
    x = 8,047,336.61/2,692.18
  6. Step 6: Final answer
    x = 2,989.15

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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.