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Finding the Fourth Proportional to 1,991.84, 2,980.40 and 1,721.12

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Solution

The fourth proportional to 1,991.84, 2,980.40 and 1,721.12 is: 2,575.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.84 : 2,980.40 = 1,721.12 : x
  2. Step 2: Convert to fraction form
    1,991.84/2,980.40 = 1,721.12/x
  3. Step 3: Cross multiply
    1,991.84x = 2,980.40 × 1,721.12
  4. Step 4: Simplify right side
    1,991.84x = 5,129,626.05
  5. Step 5: Solve for x
    x = 5,129,626.05/1,991.84
  6. Step 6: Final answer
    x = 2,575.32

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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.