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Finding the Fourth Proportional to 2,073.72, 3,111.21 and 612.90

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Solution

The fourth proportional to 2,073.72, 3,111.21 and 612.90 is: 919.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.72 : 3,111.21 = 612.90 : x
  2. Step 2: Convert to fraction form
    2,073.72/3,111.21 = 612.90/x
  3. Step 3: Cross multiply
    2,073.72x = 3,111.21 × 612.90
  4. Step 4: Simplify right side
    2,073.72x = 1,906,860.61
  5. Step 5: Solve for x
    x = 1,906,860.61/2,073.72
  6. Step 6: Final answer
    x = 919.54

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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.