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Finding the Fourth Proportional to 8,837, 13,257.12 and 4,220

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Solution

The fourth proportional to 8,837, 13,257.12 and 4,220 is: 6,330.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,837 : 13,257.12 = 4,220 : x
  2. Step 2: Convert to fraction form
    8,837/13,257.12 = 4,220/x
  3. Step 3: Cross multiply
    8,837x = 13,257.12 × 4,220
  4. Step 4: Simplify right side
    8,837x = 55,945,046.40
  5. Step 5: Solve for x
    x = 55,945,046.40/8,837
  6. Step 6: Final answer
    x = 6,330.77

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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.