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Finding the Fourth Proportional to 2,072.74, 3,109.96 and 902.92

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Solution

The fourth proportional to 2,072.74, 3,109.96 and 902.92 is: 1,354.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.74 : 3,109.96 = 902.92 : x
  2. Step 2: Convert to fraction form
    2,072.74/3,109.96 = 902.92/x
  3. Step 3: Cross multiply
    2,072.74x = 3,109.96 × 902.92
  4. Step 4: Simplify right side
    2,072.74x = 2,808,045.08
  5. Step 5: Solve for x
    x = 2,808,045.08/2,072.74
  6. Step 6: Final answer
    x = 1,354.75

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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.