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Finding the Fourth Proportional to 9,788.80, 14,660.70 and 8,039.20

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Solution

The fourth proportional to 9,788.80, 14,660.70 and 8,039.20 is: 12,040.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.80 : 14,660.70 = 8,039.20 : x
  2. Step 2: Convert to fraction form
    9,788.80/14,660.70 = 8,039.20/x
  3. Step 3: Cross multiply
    9,788.80x = 14,660.70 × 8,039.20
  4. Step 4: Simplify right side
    9,788.80x = 117,860,299.44
  5. Step 5: Solve for x
    x = 117,860,299.44/9,788.80
  6. Step 6: Final answer
    x = 12,040.32

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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.