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Finding the Fourth Proportional to 21,612.56, 32,413.79 and 8,280.84

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Solution

The fourth proportional to 21,612.56, 32,413.79 and 8,280.84 is: 12,419.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,612.56 : 32,413.79 = 8,280.84 : x
  2. Step 2: Convert to fraction form
    21,612.56/32,413.79 = 8,280.84/x
  3. Step 3: Cross multiply
    21,612.56x = 32,413.79 × 8,280.84
  4. Step 4: Simplify right side
    21,612.56x = 268,413,367.38
  5. Step 5: Solve for x
    x = 268,413,367.38/21,612.56
  6. Step 6: Final answer
    x = 12,419.33

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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.