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Finding the Fourth Proportional to 7,502, 11,253.56 and 2,885

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Solution

The fourth proportional to 7,502, 11,253.56 and 2,885 is: 4,327.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,502 : 11,253.56 = 2,885 : x
  2. Step 2: Convert to fraction form
    7,502/11,253.56 = 2,885/x
  3. Step 3: Cross multiply
    7,502x = 11,253.56 × 2,885
  4. Step 4: Simplify right side
    7,502x = 32,466,520.60
  5. Step 5: Solve for x
    x = 32,466,520.60/7,502
  6. Step 6: Final answer
    x = 4,327.72

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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.