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Finding the Fourth Proportional to 18,287.78, 27,413.30 and 12,447.14

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Solution

The fourth proportional to 18,287.78, 27,413.30 and 12,447.14 is: 18,658.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,287.78 : 27,413.30 = 12,447.14 : x
  2. Step 2: Convert to fraction form
    18,287.78/27,413.30 = 12,447.14/x
  3. Step 3: Cross multiply
    18,287.78x = 27,413.30 × 12,447.14
  4. Step 4: Simplify right side
    18,287.78x = 341,217,077.01
  5. Step 5: Solve for x
    x = 341,217,077.01/18,287.78
  6. Step 6: Final answer
    x = 18,658.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.