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Finding the Fourth Proportional to 1,982, 2,973.72 and 1,822.16

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Solution

The fourth proportional to 1,982, 2,973.72 and 1,822.16 is: 2,733.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982 : 2,973.72 = 1,822.16 : x
  2. Step 2: Convert to fraction form
    1,982/2,973.72 = 1,822.16/x
  3. Step 3: Cross multiply
    1,982x = 2,973.72 × 1,822.16
  4. Step 4: Simplify right side
    1,982x = 5,418,593.64
  5. Step 5: Solve for x
    x = 5,418,593.64/1,982
  6. Step 6: Final answer
    x = 2,733.90

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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.