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Finding the Fourth Proportional to 2,072.69, 3,109.08 and 901.88

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Solution

The fourth proportional to 2,072.69, 3,109.08 and 901.88 is: 1,352.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.69 : 3,109.08 = 901.88 : x
  2. Step 2: Convert to fraction form
    2,072.69/3,109.08 = 901.88/x
  3. Step 3: Cross multiply
    2,072.69x = 3,109.08 × 901.88
  4. Step 4: Simplify right side
    2,072.69x = 2,804,034.05
  5. Step 5: Solve for x
    x = 2,804,034.05/2,072.69
  6. Step 6: Final answer
    x = 1,352.85

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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.