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Finding the Fourth Proportional to 4,612.89, 6,919.34 and 2,148.43

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Solution

The fourth proportional to 4,612.89, 6,919.34 and 2,148.43 is: 3,222.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.89 : 6,919.34 = 2,148.43 : x
  2. Step 2: Convert to fraction form
    4,612.89/6,919.34 = 2,148.43/x
  3. Step 3: Cross multiply
    4,612.89x = 6,919.34 × 2,148.43
  4. Step 4: Simplify right side
    4,612.89x = 14,865,717.64
  5. Step 5: Solve for x
    x = 14,865,717.64/4,612.89
  6. Step 6: Final answer
    x = 3,222.65

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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.