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Finding the Fourth Proportional to 3,141.09, 4,711.50 and 801.09

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Solution

The fourth proportional to 3,141.09, 4,711.50 and 801.09 is: 1,201.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.09 : 4,711.50 = 801.09 : x
  2. Step 2: Convert to fraction form
    3,141.09/4,711.50 = 801.09/x
  3. Step 3: Cross multiply
    3,141.09x = 4,711.50 × 801.09
  4. Step 4: Simplify right side
    3,141.09x = 3,774,335.54
  5. Step 5: Solve for x
    x = 3,774,335.54/3,141.09
  6. Step 6: Final answer
    x = 1,201.60

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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.