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Finding the Fourth Proportional to 3,140.79, 4,711.17 and 800.79

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Solution

The fourth proportional to 3,140.79, 4,711.17 and 800.79 is: 1,201.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.79 : 4,711.17 = 800.79 : x
  2. Step 2: Convert to fraction form
    3,140.79/4,711.17 = 800.79/x
  3. Step 3: Cross multiply
    3,140.79x = 4,711.17 × 800.79
  4. Step 4: Simplify right side
    3,140.79x = 3,772,657.82
  5. Step 5: Solve for x
    x = 3,772,657.82/3,140.79
  6. Step 6: Final answer
    x = 1,201.18

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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.