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Finding the Fourth Proportional to 1,991.67, 2,988.23 and 821.77

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Solution

The fourth proportional to 1,991.67, 2,988.23 and 821.77 is: 1,232.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.67 : 2,988.23 = 821.77 : x
  2. Step 2: Convert to fraction form
    1,991.67/2,988.23 = 821.77/x
  3. Step 3: Cross multiply
    1,991.67x = 2,988.23 × 821.77
  4. Step 4: Simplify right side
    1,991.67x = 2,455,639.92
  5. Step 5: Solve for x
    x = 2,455,639.92/1,991.67
  6. Step 6: Final answer
    x = 1,232.96

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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.