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Finding the Fourth Proportional to 2,188.77, 3,283.61 and 728.04

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Solution

The fourth proportional to 2,188.77, 3,283.61 and 728.04 is: 1,092.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.77 : 3,283.61 = 728.04 : x
  2. Step 2: Convert to fraction form
    2,188.77/3,283.61 = 728.04/x
  3. Step 3: Cross multiply
    2,188.77x = 3,283.61 × 728.04
  4. Step 4: Simplify right side
    2,188.77x = 2,390,599.42
  5. Step 5: Solve for x
    x = 2,390,599.42/2,188.77
  6. Step 6: Final answer
    x = 1,092.21

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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.