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Finding the Fourth Proportional to 8,088.78, 12,132.72 and 3,406.80

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Solution

The fourth proportional to 8,088.78, 12,132.72 and 3,406.80 is: 5,110.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,088.78 : 12,132.72 = 3,406.80 : x
  2. Step 2: Convert to fraction form
    8,088.78/12,132.72 = 3,406.80/x
  3. Step 3: Cross multiply
    8,088.78x = 12,132.72 × 3,406.80
  4. Step 4: Simplify right side
    8,088.78x = 41,333,750.50
  5. Step 5: Solve for x
    x = 41,333,750.50/8,088.78
  6. Step 6: Final answer
    x = 5,110.01

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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.