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Finding the Fourth Proportional to 3,437.62, 5,146.62 and 3,219.66

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Solution

The fourth proportional to 3,437.62, 5,146.62 and 3,219.66 is: 4,820.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.62 : 5,146.62 = 3,219.66 : x
  2. Step 2: Convert to fraction form
    3,437.62/5,146.62 = 3,219.66/x
  3. Step 3: Cross multiply
    3,437.62x = 5,146.62 × 3,219.66
  4. Step 4: Simplify right side
    3,437.62x = 16,570,366.55
  5. Step 5: Solve for x
    x = 16,570,366.55/3,437.62
  6. Step 6: Final answer
    x = 4,820.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.