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Finding the Fourth Proportional to 15,189.93, 20,968.74 and 9,223.47

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Solution

The fourth proportional to 15,189.93, 20,968.74 and 9,223.47 is: 12,732.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,189.93 : 20,968.74 = 9,223.47 : x
  2. Step 2: Convert to fraction form
    15,189.93/20,968.74 = 9,223.47/x
  3. Step 3: Cross multiply
    15,189.93x = 20,968.74 × 9,223.47
  4. Step 4: Simplify right side
    15,189.93x = 193,404,544.33
  5. Step 5: Solve for x
    x = 193,404,544.33/15,189.93
  6. Step 6: Final answer
    x = 12,732.42

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1.5x scale

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.