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Finding the Fourth Proportional to 12,993.43, 17,937.84 and 10,413.13

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Solution

The fourth proportional to 12,993.43, 17,937.84 and 10,413.13 is: 14,375.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,993.43 : 17,937.84 = 10,413.13 : x
  2. Step 2: Convert to fraction form
    12,993.43/17,937.84 = 10,413.13/x
  3. Step 3: Cross multiply
    12,993.43x = 17,937.84 × 10,413.13
  4. Step 4: Simplify right side
    12,993.43x = 186,789,059.84
  5. Step 5: Solve for x
    x = 186,789,059.84/12,993.43
  6. Step 6: Final answer
    x = 14,375.65

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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.