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Finding the Fourth Proportional to 9,660, 13,325.76 and 5,680.80

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Solution

The fourth proportional to 9,660, 13,325.76 and 5,680.80 is: 7,836.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,660 : 13,325.76 = 5,680.80 : x
  2. Step 2: Convert to fraction form
    9,660/13,325.76 = 5,680.80/x
  3. Step 3: Cross multiply
    9,660x = 13,325.76 × 5,680.80
  4. Step 4: Simplify right side
    9,660x = 75,700,977.41
  5. Step 5: Solve for x
    x = 75,700,977.41/9,660
  6. Step 6: Final answer
    x = 7,836.54

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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.