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Finding the Fourth Proportional to 2,972.84, 4,458.98 and 2,331.32

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Solution

The fourth proportional to 2,972.84, 4,458.98 and 2,331.32 is: 3,496.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.84 : 4,458.98 = 2,331.32 : x
  2. Step 2: Convert to fraction form
    2,972.84/4,458.98 = 2,331.32/x
  3. Step 3: Cross multiply
    2,972.84x = 4,458.98 × 2,331.32
  4. Step 4: Simplify right side
    2,972.84x = 10,395,309.25
  5. Step 5: Solve for x
    x = 10,395,309.25/2,972.84
  6. Step 6: Final answer
    x = 3,496.76

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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.