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Finding the Fourth Proportional to 9,187.68, 12,678.82 and 5,208.70

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Solution

The fourth proportional to 9,187.68, 12,678.82 and 5,208.70 is: 7,187.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,187.68 : 12,678.82 = 5,208.70 : x
  2. Step 2: Convert to fraction form
    9,187.68/12,678.82 = 5,208.70/x
  3. Step 3: Cross multiply
    9,187.68x = 12,678.82 × 5,208.70
  4. Step 4: Simplify right side
    9,187.68x = 66,040,169.73
  5. Step 5: Solve for x
    x = 66,040,169.73/9,187.68
  6. Step 6: Final answer
    x = 7,187.90

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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.