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Finding the Fourth Proportional to 9,508, 13,121.04 and 5,316.64

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Solution

The fourth proportional to 9,508, 13,121.04 and 5,316.64 is: 7,336.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,508 : 13,121.04 = 5,316.64 : x
  2. Step 2: Convert to fraction form
    9,508/13,121.04 = 5,316.64/x
  3. Step 3: Cross multiply
    9,508x = 13,121.04 × 5,316.64
  4. Step 4: Simplify right side
    9,508x = 69,759,846.11
  5. Step 5: Solve for x
    x = 69,759,846.11/9,508
  6. Step 6: Final answer
    x = 7,336.96

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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.