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Finding the Fourth Proportional to 8,259.20, 12,413.10 and 8,113.40

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Solution

The fourth proportional to 8,259.20, 12,413.10 and 8,113.40 is: 12,193.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,259.20 : 12,413.10 = 8,113.40 : x
  2. Step 2: Convert to fraction form
    8,259.20/12,413.10 = 8,113.40/x
  3. Step 3: Cross multiply
    8,259.20x = 12,413.10 × 8,113.40
  4. Step 4: Simplify right side
    8,259.20x = 100,712,445.54
  5. Step 5: Solve for x
    x = 100,712,445.54/8,259.20
  6. Step 6: Final answer
    x = 12,193.97

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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.