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Finding the Fourth Proportional to 8,257, 12,385.50 and 2,413.66

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Solution

The fourth proportional to 8,257, 12,385.50 and 2,413.66 is: 3,620.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257 : 12,385.50 = 2,413.66 : x
  2. Step 2: Convert to fraction form
    8,257/12,385.50 = 2,413.66/x
  3. Step 3: Cross multiply
    8,257x = 12,385.50 × 2,413.66
  4. Step 4: Simplify right side
    8,257x = 29,894,385.93
  5. Step 5: Solve for x
    x = 29,894,385.93/8,257
  6. Step 6: Final answer
    x = 3,620.49

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Double scale
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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.