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Finding the Fourth Proportional to 2,188.50, 3,019.35 and 1,443.21

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Solution

The fourth proportional to 2,188.50, 3,019.35 and 1,443.21 is: 1,991.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.50 : 3,019.35 = 1,443.21 : x
  2. Step 2: Convert to fraction form
    2,188.50/3,019.35 = 1,443.21/x
  3. Step 3: Cross multiply
    2,188.50x = 3,019.35 × 1,443.21
  4. Step 4: Simplify right side
    2,188.50x = 4,357,556.11
  5. Step 5: Solve for x
    x = 4,357,556.11/2,188.50
  6. Step 6: Final answer
    x = 1,991.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.