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Finding the Fourth Proportional to 8,192.80, 12,280.80 and 4,026.40

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Solution

The fourth proportional to 8,192.80, 12,280.80 and 4,026.40 is: 6,035.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.80 : 12,280.80 = 4,026.40 : x
  2. Step 2: Convert to fraction form
    8,192.80/12,280.80 = 4,026.40/x
  3. Step 3: Cross multiply
    8,192.80x = 12,280.80 × 4,026.40
  4. Step 4: Simplify right side
    8,192.80x = 49,447,413.12
  5. Step 5: Solve for x
    x = 49,447,413.12/8,192.80
  6. Step 6: Final answer
    x = 6,035.47

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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.