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Finding the Fourth Proportional to 8,833.85, 13,247.28 and 3,900

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Solution

The fourth proportional to 8,833.85, 13,247.28 and 3,900 is: 5,848.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,833.85 : 13,247.28 = 3,900 : x
  2. Step 2: Convert to fraction form
    8,833.85/13,247.28 = 3,900/x
  3. Step 3: Cross multiply
    8,833.85x = 13,247.28 × 3,900
  4. Step 4: Simplify right side
    8,833.85x = 51,664,392
  5. Step 5: Solve for x
    x = 51,664,392/8,833.85
  6. Step 6: Final answer
    x = 5,848.46

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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.