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Finding the Fourth Proportional to 9,660, 13,330.80 and 5,244

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Solution

The fourth proportional to 9,660, 13,330.80 and 5,244 is: 7,236.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,660 : 13,330.80 = 5,244 : x
  2. Step 2: Convert to fraction form
    9,660/13,330.80 = 5,244/x
  3. Step 3: Cross multiply
    9,660x = 13,330.80 × 5,244
  4. Step 4: Simplify right side
    9,660x = 69,906,715.20
  5. Step 5: Solve for x
    x = 69,906,715.20/9,660
  6. Step 6: Final answer
    x = 7,236.72

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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.