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Finding the Fourth Proportional to 8,712.47, 12,084.90 and 8,413.77

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Solution

The fourth proportional to 8,712.47, 12,084.90 and 8,413.77 is: 11,670.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,712.47 : 12,084.90 = 8,413.77 : x
  2. Step 2: Convert to fraction form
    8,712.47/12,084.90 = 8,413.77/x
  3. Step 3: Cross multiply
    8,712.47x = 12,084.90 × 8,413.77
  4. Step 4: Simplify right side
    8,712.47x = 101,679,508.65
  5. Step 5: Solve for x
    x = 101,679,508.65/8,712.47
  6. Step 6: Final answer
    x = 11,670.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.