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Finding the Fourth Proportional to 3,143.56, 4,692.29 and 2,774.56

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Solution

The fourth proportional to 3,143.56, 4,692.29 and 2,774.56 is: 4,141.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.56 : 4,692.29 = 2,774.56 : x
  2. Step 2: Convert to fraction form
    3,143.56/4,692.29 = 2,774.56/x
  3. Step 3: Cross multiply
    3,143.56x = 4,692.29 × 2,774.56
  4. Step 4: Simplify right side
    3,143.56x = 13,019,040.14
  5. Step 5: Solve for x
    x = 13,019,040.14/3,143.56
  6. Step 6: Final answer
    x = 4,141.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.