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Finding the Fourth Proportional to 3,357.50, 5,041.93 and 2,189.50

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Solution

The fourth proportional to 3,357.50, 5,041.93 and 2,189.50 is: 3,287.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,357.50 : 5,041.93 = 2,189.50 : x
  2. Step 2: Convert to fraction form
    3,357.50/5,041.93 = 2,189.50/x
  3. Step 3: Cross multiply
    3,357.50x = 5,041.93 × 2,189.50
  4. Step 4: Simplify right side
    3,357.50x = 11,039,305.74
  5. Step 5: Solve for x
    x = 11,039,305.74/3,357.50
  6. Step 6: Final answer
    x = 3,287.95

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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.