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Finding the Fourth Proportional to 3,662.55, 5,054.02 and 2,149.95

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Solution

The fourth proportional to 3,662.55, 5,054.02 and 2,149.95 is: 2,966.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.55 : 5,054.02 = 2,149.95 : x
  2. Step 2: Convert to fraction form
    3,662.55/5,054.02 = 2,149.95/x
  3. Step 3: Cross multiply
    3,662.55x = 5,054.02 × 2,149.95
  4. Step 4: Simplify right side
    3,662.55x = 10,865,895.71
  5. Step 5: Solve for x
    x = 10,865,895.71/3,662.55
  6. Step 6: Final answer
    x = 2,966.76

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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.