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Finding the Fourth Proportional to 18,209.78, 27,314.66 and 10,413.12

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Solution

The fourth proportional to 18,209.78, 27,314.66 and 10,413.12 is: 15,619.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,209.78 : 27,314.66 = 10,413.12 : x
  2. Step 2: Convert to fraction form
    18,209.78/27,314.66 = 10,413.12/x
  3. Step 3: Cross multiply
    18,209.78x = 27,314.66 × 10,413.12
  4. Step 4: Simplify right side
    18,209.78x = 284,430,832.34
  5. Step 5: Solve for x
    x = 284,430,832.34/18,209.78
  6. Step 6: Final answer
    x = 15,619.67

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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.