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Finding the Fourth Proportional to 3,693.98, 5,098.12 and 2,122.22

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Solution

The fourth proportional to 3,693.98, 5,098.12 and 2,122.22 is: 2,928.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.98 : 5,098.12 = 2,122.22 : x
  2. Step 2: Convert to fraction form
    3,693.98/5,098.12 = 2,122.22/x
  3. Step 3: Cross multiply
    3,693.98x = 5,098.12 × 2,122.22
  4. Step 4: Simplify right side
    3,693.98x = 10,819,332.23
  5. Step 5: Solve for x
    x = 10,819,332.23/3,693.98
  6. Step 6: Final answer
    x = 2,928.91

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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.