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Finding the Fourth Proportional to 9,628, 13,286.64 and 5,212

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Solution

The fourth proportional to 9,628, 13,286.64 and 5,212 is: 7,192.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,628 : 13,286.64 = 5,212 : x
  2. Step 2: Convert to fraction form
    9,628/13,286.64 = 5,212/x
  3. Step 3: Cross multiply
    9,628x = 13,286.64 × 5,212
  4. Step 4: Simplify right side
    9,628x = 69,249,967.68
  5. Step 5: Solve for x
    x = 69,249,967.68/9,628
  6. Step 6: Final answer
    x = 7,192.56

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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.