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Finding the Fourth Proportional to 2,849.77, 4,274.66 and 902.14

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Solution

The fourth proportional to 2,849.77, 4,274.66 and 902.14 is: 1,353.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,849.77 : 4,274.66 = 902.14 : x
  2. Step 2: Convert to fraction form
    2,849.77/4,274.66 = 902.14/x
  3. Step 3: Cross multiply
    2,849.77x = 4,274.66 × 902.14
  4. Step 4: Simplify right side
    2,849.77x = 3,856,341.77
  5. Step 5: Solve for x
    x = 3,856,341.77/2,849.77
  6. Step 6: Final answer
    x = 1,353.21

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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.