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Finding the Fourth Proportional to 5,420, 7,479.60 and 3,212

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Solution

The fourth proportional to 5,420, 7,479.60 and 3,212 is: 4,432.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420 : 7,479.60 = 3,212 : x
  2. Step 2: Convert to fraction form
    5,420/7,479.60 = 3,212/x
  3. Step 3: Cross multiply
    5,420x = 7,479.60 × 3,212
  4. Step 4: Simplify right side
    5,420x = 24,024,475.20
  5. Step 5: Solve for x
    x = 24,024,475.20/5,420
  6. Step 6: Final answer
    x = 4,432.56

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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.