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Finding the Fourth Proportional to 21,878.14, 32,815.61 and 8,548.63

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Solution

The fourth proportional to 21,878.14, 32,815.61 and 8,548.63 is: 12,822.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,878.14 : 32,815.61 = 8,548.63 : x
  2. Step 2: Convert to fraction form
    21,878.14/32,815.61 = 8,548.63/x
  3. Step 3: Cross multiply
    21,878.14x = 32,815.61 × 8,548.63
  4. Step 4: Simplify right side
    21,878.14x = 280,528,344.04
  5. Step 5: Solve for x
    x = 280,528,344.04/21,878.14
  6. Step 6: Final answer
    x = 12,822.32

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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.