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Finding the Fourth Proportional to 3,300.81, 4,951.10 and 992.25

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Solution

The fourth proportional to 3,300.81, 4,951.10 and 992.25 is: 1,488.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,300.81 : 4,951.10 = 992.25 : x
  2. Step 2: Convert to fraction form
    3,300.81/4,951.10 = 992.25/x
  3. Step 3: Cross multiply
    3,300.81x = 4,951.10 × 992.25
  4. Step 4: Simplify right side
    3,300.81x = 4,912,724.01
  5. Step 5: Solve for x
    x = 4,912,724.01/3,300.81
  6. Step 6: Final answer
    x = 1,488.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.