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Finding the Fourth Proportional to 4,143.89, 6,216.89 and 1,512.84

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Solution

The fourth proportional to 4,143.89, 6,216.89 and 1,512.84 is: 2,269.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,143.89 : 6,216.89 = 1,512.84 : x
  2. Step 2: Convert to fraction form
    4,143.89/6,216.89 = 1,512.84/x
  3. Step 3: Cross multiply
    4,143.89x = 6,216.89 × 1,512.84
  4. Step 4: Simplify right side
    4,143.89x = 9,405,175.62
  5. Step 5: Solve for x
    x = 9,405,175.62/4,143.89
  6. Step 6: Final answer
    x = 2,269.65

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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.