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Finding the Fourth Proportional to 2,070.43, 3,105.66 and 531.43

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Solution

The fourth proportional to 2,070.43, 3,105.66 and 531.43 is: 797.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.43 : 3,105.66 = 531.43 : x
  2. Step 2: Convert to fraction form
    2,070.43/3,105.66 = 531.43/x
  3. Step 3: Cross multiply
    2,070.43x = 3,105.66 × 531.43
  4. Step 4: Simplify right side
    2,070.43x = 1,650,440.89
  5. Step 5: Solve for x
    x = 1,650,440.89/2,070.43
  6. Step 6: Final answer
    x = 797.15

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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.