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Finding the Fourth Proportional to 5,692, 7,856.40 and 3,209.44

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Solution

The fourth proportional to 5,692, 7,856.40 and 3,209.44 is: 4,429.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692 : 7,856.40 = 3,209.44 : x
  2. Step 2: Convert to fraction form
    5,692/7,856.40 = 3,209.44/x
  3. Step 3: Cross multiply
    5,692x = 7,856.40 × 3,209.44
  4. Step 4: Simplify right side
    5,692x = 25,214,644.42
  5. Step 5: Solve for x
    x = 25,214,644.42/5,692
  6. Step 6: Final answer
    x = 4,429.84

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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.