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Finding the Fourth Proportional to 5,718.87, 7,892.12 and 3,201.09

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Solution

The fourth proportional to 5,718.87, 7,892.12 and 3,201.09 is: 4,417.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,718.87 : 7,892.12 = 3,201.09 : x
  2. Step 2: Convert to fraction form
    5,718.87/7,892.12 = 3,201.09/x
  3. Step 3: Cross multiply
    5,718.87x = 7,892.12 × 3,201.09
  4. Step 4: Simplify right side
    5,718.87x = 25,263,386.41
  5. Step 5: Solve for x
    x = 25,263,386.41/5,718.87
  6. Step 6: Final answer
    x = 4,417.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.