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Finding the Fourth Proportional to 12,172.78, 18,171.12 and 10,696.56

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Solution

The fourth proportional to 12,172.78, 18,171.12 and 10,696.56 is: 15,967.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,172.78 : 18,171.12 = 10,696.56 : x
  2. Step 2: Convert to fraction form
    12,172.78/18,171.12 = 10,696.56/x
  3. Step 3: Cross multiply
    12,172.78x = 18,171.12 × 10,696.56
  4. Step 4: Simplify right side
    12,172.78x = 194,368,475.35
  5. Step 5: Solve for x
    x = 194,368,475.35/12,172.78
  6. Step 6: Final answer
    x = 15,967.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.