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Finding the Fourth Proportional to 2,849.84, 4,274.75 and 902.19

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Solution

The fourth proportional to 2,849.84, 4,274.75 and 902.19 is: 1,353.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,849.84 : 4,274.75 = 902.19 : x
  2. Step 2: Convert to fraction form
    2,849.84/4,274.75 = 902.19/x
  3. Step 3: Cross multiply
    2,849.84x = 4,274.75 × 902.19
  4. Step 4: Simplify right side
    2,849.84x = 3,856,636.70
  5. Step 5: Solve for x
    x = 3,856,636.70/2,849.84
  6. Step 6: Final answer
    x = 1,353.28

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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.