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Finding the Fourth Proportional to 1,977.24, 2,966.82 and 991.08

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Solution

The fourth proportional to 1,977.24, 2,966.82 and 991.08 is: 1,487.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.24 : 2,966.82 = 991.08 : x
  2. Step 2: Convert to fraction form
    1,977.24/2,966.82 = 991.08/x
  3. Step 3: Cross multiply
    1,977.24x = 2,966.82 × 991.08
  4. Step 4: Simplify right side
    1,977.24x = 2,940,355.97
  5. Step 5: Solve for x
    x = 2,940,355.97/1,977.24
  6. Step 6: Final answer
    x = 1,487.10

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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.