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Finding the Fourth Proportional to 15,172.66, 20,932.25 and 9,202.15

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Solution

The fourth proportional to 15,172.66, 20,932.25 and 9,202.15 is: 12,695.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,172.66 : 20,932.25 = 9,202.15 : x
  2. Step 2: Convert to fraction form
    15,172.66/20,932.25 = 9,202.15/x
  3. Step 3: Cross multiply
    15,172.66x = 20,932.25 × 9,202.15
  4. Step 4: Simplify right side
    15,172.66x = 192,621,704.34
  5. Step 5: Solve for x
    x = 192,621,704.34/15,172.66
  6. Step 6: Final answer
    x = 12,695.32

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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.