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Finding the Fourth Proportional to 2,147.91, 3,219.81 and 686.13

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Solution

The fourth proportional to 2,147.91, 3,219.81 and 686.13 is: 1,028.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.91 : 3,219.81 = 686.13 : x
  2. Step 2: Convert to fraction form
    2,147.91/3,219.81 = 686.13/x
  3. Step 3: Cross multiply
    2,147.91x = 3,219.81 × 686.13
  4. Step 4: Simplify right side
    2,147.91x = 2,209,208.24
  5. Step 5: Solve for x
    x = 2,209,208.24/2,147.91
  6. Step 6: Final answer
    x = 1,028.54

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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.