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Finding the Fourth Proportional to 8,776, 12,132.48 and 8,408.80

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Solution

The fourth proportional to 8,776, 12,132.48 and 8,408.80 is: 11,624.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,776 : 12,132.48 = 8,408.80 : x
  2. Step 2: Convert to fraction form
    8,776/12,132.48 = 8,408.80/x
  3. Step 3: Cross multiply
    8,776x = 12,132.48 × 8,408.80
  4. Step 4: Simplify right side
    8,776x = 102,019,597.82
  5. Step 5: Solve for x
    x = 102,019,597.82/8,776
  6. Step 6: Final answer
    x = 11,624.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.