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Finding the Fourth Proportional to 2,408.02, 3,611.49 and 869.02

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Solution

The fourth proportional to 2,408.02, 3,611.49 and 869.02 is: 1,303.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.02 : 3,611.49 = 869.02 : x
  2. Step 2: Convert to fraction form
    2,408.02/3,611.49 = 869.02/x
  3. Step 3: Cross multiply
    2,408.02x = 3,611.49 × 869.02
  4. Step 4: Simplify right side
    2,408.02x = 3,138,457.04
  5. Step 5: Solve for x
    x = 3,138,457.04/2,408.02
  6. Step 6: Final answer
    x = 1,303.34

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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.