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Finding the Fourth Proportional to 9,660, 13,330.80 and 5,468.25

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Solution

The fourth proportional to 9,660, 13,330.80 and 5,468.25 is: 7,546.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,660 : 13,330.80 = 5,468.25 : x
  2. Step 2: Convert to fraction form
    9,660/13,330.80 = 5,468.25/x
  3. Step 3: Cross multiply
    9,660x = 13,330.80 × 5,468.25
  4. Step 4: Simplify right side
    9,660x = 72,896,147.10
  5. Step 5: Solve for x
    x = 72,896,147.10/9,660
  6. Step 6: Final answer
    x = 7,546.19

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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.