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Finding the Fourth Proportional to 2,978.97, 4,448.39 and 2,432.22

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Solution

The fourth proportional to 2,978.97, 4,448.39 and 2,432.22 is: 3,631.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.97 : 4,448.39 = 2,432.22 : x
  2. Step 2: Convert to fraction form
    2,978.97/4,448.39 = 2,432.22/x
  3. Step 3: Cross multiply
    2,978.97x = 4,448.39 × 2,432.22
  4. Step 4: Simplify right side
    2,978.97x = 10,819,463.13
  5. Step 5: Solve for x
    x = 10,819,463.13/2,978.97
  6. Step 6: Final answer
    x = 3,631.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.