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Finding the Fourth Proportional to 15,106.97, 20,844.41 and 8,391.20

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Solution

The fourth proportional to 15,106.97, 20,844.41 and 8,391.20 is: 11,578.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,106.97 : 20,844.41 = 8,391.20 : x
  2. Step 2: Convert to fraction form
    15,106.97/20,844.41 = 8,391.20/x
  3. Step 3: Cross multiply
    15,106.97x = 20,844.41 × 8,391.20
  4. Step 4: Simplify right side
    15,106.97x = 174,909,467.01
  5. Step 5: Solve for x
    x = 174,909,467.01/15,106.97
  6. Step 6: Final answer
    x = 11,578.06

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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.