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Finding the Fourth Proportional to 2,149.57, 3,224.49 and 589.51

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Solution

The fourth proportional to 2,149.57, 3,224.49 and 589.51 is: 884.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.57 : 3,224.49 = 589.51 : x
  2. Step 2: Convert to fraction form
    2,149.57/3,224.49 = 589.51/x
  3. Step 3: Cross multiply
    2,149.57x = 3,224.49 × 589.51
  4. Step 4: Simplify right side
    2,149.57x = 1,900,870.92
  5. Step 5: Solve for x
    x = 1,900,870.92/2,149.57
  6. Step 6: Final answer
    x = 884.30

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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.