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Finding the Fourth Proportional to 4,612.96, 6,920.48 and 2,422.72

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Solution

The fourth proportional to 4,612.96, 6,920.48 and 2,422.72 is: 3,634.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.96 : 6,920.48 = 2,422.72 : x
  2. Step 2: Convert to fraction form
    4,612.96/6,920.48 = 2,422.72/x
  3. Step 3: Cross multiply
    4,612.96x = 6,920.48 × 2,422.72
  4. Step 4: Simplify right side
    4,612.96x = 16,766,385.31
  5. Step 5: Solve for x
    x = 16,766,385.31/4,612.96
  6. Step 6: Final answer
    x = 3,634.63

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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.