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Finding the Fourth Proportional to 2,633.40, 3,950.16 and 902

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Solution

The fourth proportional to 2,633.40, 3,950.16 and 902 is: 1,353.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.40 : 3,950.16 = 902 : x
  2. Step 2: Convert to fraction form
    2,633.40/3,950.16 = 902/x
  3. Step 3: Cross multiply
    2,633.40x = 3,950.16 × 902
  4. Step 4: Simplify right side
    2,633.40x = 3,563,044.32
  5. Step 5: Solve for x
    x = 3,563,044.32/2,633.40
  6. Step 6: Final answer
    x = 1,353.02

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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.