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Finding the Fourth Proportional to 5,692.78, 7,856.04 and 3,175.12

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Solution

The fourth proportional to 5,692.78, 7,856.04 and 3,175.12 is: 4,381.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.78 : 7,856.04 = 3,175.12 : x
  2. Step 2: Convert to fraction form
    5,692.78/7,856.04 = 3,175.12/x
  3. Step 3: Cross multiply
    5,692.78x = 7,856.04 × 3,175.12
  4. Step 4: Simplify right side
    5,692.78x = 24,943,869.72
  5. Step 5: Solve for x
    x = 24,943,869.72/5,692.78
  6. Step 6: Final answer
    x = 4,381.67

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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.