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Finding the Fourth Proportional to 12,942.90, 19,413.90 and 3,708.90

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Solution

The fourth proportional to 12,942.90, 19,413.90 and 3,708.90 is: 5,563.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,942.90 : 19,413.90 = 3,708.90 : x
  2. Step 2: Convert to fraction form
    12,942.90/19,413.90 = 3,708.90/x
  3. Step 3: Cross multiply
    12,942.90x = 19,413.90 × 3,708.90
  4. Step 4: Simplify right side
    12,942.90x = 72,004,213.71
  5. Step 5: Solve for x
    x = 72,004,213.71/12,942.90
  6. Step 6: Final answer
    x = 5,563.22

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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.