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Finding the Fourth Proportional to 8,413.74, 12,631.77 and 7,189.02

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Solution

The fourth proportional to 8,413.74, 12,631.77 and 7,189.02 is: 10,793.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413.74 : 12,631.77 = 7,189.02 : x
  2. Step 2: Convert to fraction form
    8,413.74/12,631.77 = 7,189.02/x
  3. Step 3: Cross multiply
    8,413.74x = 12,631.77 × 7,189.02
  4. Step 4: Simplify right side
    8,413.74x = 90,810,047.17
  5. Step 5: Solve for x
    x = 90,810,047.17/8,413.74
  6. Step 6: Final answer
    x = 10,793.07

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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.