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Finding the Fourth Proportional to 3,667.38, 5,061 and 1,988.80

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Solution

The fourth proportional to 3,667.38, 5,061 and 1,988.80 is: 2,744.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.38 : 5,061 = 1,988.80 : x
  2. Step 2: Convert to fraction form
    3,667.38/5,061 = 1,988.80/x
  3. Step 3: Cross multiply
    3,667.38x = 5,061 × 1,988.80
  4. Step 4: Simplify right side
    3,667.38x = 10,065,316.80
  5. Step 5: Solve for x
    x = 10,065,316.80/3,667.38
  6. Step 6: Final answer
    x = 2,744.55

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1.5x scale

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.