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Finding the Fourth Proportional to 1,982.11, 2,972.93 and 521.38

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Solution

The fourth proportional to 1,982.11, 2,972.93 and 521.38 is: 782.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.11 : 2,972.93 = 521.38 : x
  2. Step 2: Convert to fraction form
    1,982.11/2,972.93 = 521.38/x
  3. Step 3: Cross multiply
    1,982.11x = 2,972.93 × 521.38
  4. Step 4: Simplify right side
    1,982.11x = 1,550,026.24
  5. Step 5: Solve for x
    x = 1,550,026.24/1,982.11
  6. Step 6: Final answer
    x = 782.01

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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.