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Finding the Fourth Proportional to 12,172.68, 16,796.16 and 7,458.48

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Solution

The fourth proportional to 12,172.68, 16,796.16 and 7,458.48 is: 10,291.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,172.68 : 16,796.16 = 7,458.48 : x
  2. Step 2: Convert to fraction form
    12,172.68/16,796.16 = 7,458.48/x
  3. Step 3: Cross multiply
    12,172.68x = 16,796.16 × 7,458.48
  4. Step 4: Simplify right side
    12,172.68x = 125,273,823.44
  5. Step 5: Solve for x
    x = 125,273,823.44/12,172.68
  6. Step 6: Final answer
    x = 10,291.39

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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.