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Finding the Fourth Proportional to 21,584.94, 32,358.20 and 8,434.32

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Solution

The fourth proportional to 21,584.94, 32,358.20 and 8,434.32 is: 12,643.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,584.94 : 32,358.20 = 8,434.32 : x
  2. Step 2: Convert to fraction form
    21,584.94/32,358.20 = 8,434.32/x
  3. Step 3: Cross multiply
    21,584.94x = 32,358.20 × 8,434.32
  4. Step 4: Simplify right side
    21,584.94x = 272,919,413.42
  5. Step 5: Solve for x
    x = 272,919,413.42/21,584.94
  6. Step 6: Final answer
    x = 12,643.97

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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.