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Finding the Fourth Proportional to 21,878.83, 32,825.45 and 8,723.95

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Solution

The fourth proportional to 21,878.83, 32,825.45 and 8,723.95 is: 13,088.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,878.83 : 32,825.45 = 8,723.95 : x
  2. Step 2: Convert to fraction form
    21,878.83/32,825.45 = 8,723.95/x
  3. Step 3: Cross multiply
    21,878.83x = 32,825.45 × 8,723.95
  4. Step 4: Simplify right side
    21,878.83x = 286,367,540.91
  5. Step 5: Solve for x
    x = 286,367,540.91/21,878.83
  6. Step 6: Final answer
    x = 13,088.80

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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.