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Finding the Fourth Proportional to 2,129.80, 2,943.14 and 1,604.92

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Solution

The fourth proportional to 2,129.80, 2,943.14 and 1,604.92 is: 2,217.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.80 : 2,943.14 = 1,604.92 : x
  2. Step 2: Convert to fraction form
    2,129.80/2,943.14 = 1,604.92/x
  3. Step 3: Cross multiply
    2,129.80x = 2,943.14 × 1,604.92
  4. Step 4: Simplify right side
    2,129.80x = 4,723,504.25
  5. Step 5: Solve for x
    x = 4,723,504.25/2,129.80
  6. Step 6: Final answer
    x = 2,217.82

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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.