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Finding the Fourth Proportional to 15,166.06, 20,923.41 and 9,195.64

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Solution

The fourth proportional to 15,166.06, 20,923.41 and 9,195.64 is: 12,686.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,166.06 : 20,923.41 = 9,195.64 : x
  2. Step 2: Convert to fraction form
    15,166.06/20,923.41 = 9,195.64/x
  3. Step 3: Cross multiply
    15,166.06x = 20,923.41 × 9,195.64
  4. Step 4: Simplify right side
    15,166.06x = 192,404,145.93
  5. Step 5: Solve for x
    x = 192,404,145.93/15,166.06
  6. Step 6: Final answer
    x = 12,686.50

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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.