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Finding the Fourth Proportional to 2,189.81, 3,278.55 and 2,017.55

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Solution

The fourth proportional to 2,189.81, 3,278.55 and 2,017.55 is: 3,020.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.81 : 3,278.55 = 2,017.55 : x
  2. Step 2: Convert to fraction form
    2,189.81/3,278.55 = 2,017.55/x
  3. Step 3: Cross multiply
    2,189.81x = 3,278.55 × 2,017.55
  4. Step 4: Simplify right side
    2,189.81x = 6,614,638.55
  5. Step 5: Solve for x
    x = 6,614,638.55/2,189.81
  6. Step 6: Final answer
    x = 3,020.64

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1.5x scale

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.