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Finding the Fourth Proportional to 12,174.39, 16,800.74 and 7,458.68

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Solution

The fourth proportional to 12,174.39, 16,800.74 and 7,458.68 is: 10,293.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,174.39 : 16,800.74 = 7,458.68 : x
  2. Step 2: Convert to fraction form
    12,174.39/16,800.74 = 7,458.68/x
  3. Step 3: Cross multiply
    12,174.39x = 16,800.74 × 7,458.68
  4. Step 4: Simplify right side
    12,174.39x = 125,311,343.42
  5. Step 5: Solve for x
    x = 125,311,343.42/12,174.39
  6. Step 6: Final answer
    x = 10,293.03

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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.