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Finding the Fourth Proportional to 2,635.16, 3,950.22 and 902.84

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Solution

The fourth proportional to 2,635.16, 3,950.22 and 902.84 is: 1,353.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.16 : 3,950.22 = 902.84 : x
  2. Step 2: Convert to fraction form
    2,635.16/3,950.22 = 902.84/x
  3. Step 3: Cross multiply
    2,635.16x = 3,950.22 × 902.84
  4. Step 4: Simplify right side
    2,635.16x = 3,566,416.62
  5. Step 5: Solve for x
    x = 3,566,416.62/2,635.16
  6. Step 6: Final answer
    x = 1,353.40

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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.