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Finding the Fourth Proportional to 7,545.43, 10,413.94 and 4,189.32

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Solution

The fourth proportional to 7,545.43, 10,413.94 and 4,189.32 is: 5,781.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,545.43 : 10,413.94 = 4,189.32 : x
  2. Step 2: Convert to fraction form
    7,545.43/10,413.94 = 4,189.32/x
  3. Step 3: Cross multiply
    7,545.43x = 10,413.94 × 4,189.32
  4. Step 4: Simplify right side
    7,545.43x = 43,627,327.12
  5. Step 5: Solve for x
    x = 43,627,327.12/7,545.43
  6. Step 6: Final answer
    x = 5,781.95

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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.