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Finding the Fourth Proportional to 21,787.35, 32,685.63 and 7,006.64

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Solution

The fourth proportional to 21,787.35, 32,685.63 and 7,006.64 is: 10,511.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,787.35 : 32,685.63 = 7,006.64 : x
  2. Step 2: Convert to fraction form
    21,787.35/32,685.63 = 7,006.64/x
  3. Step 3: Cross multiply
    21,787.35x = 32,685.63 × 7,006.64
  4. Step 4: Simplify right side
    21,787.35x = 229,016,252.88
  5. Step 5: Solve for x
    x = 229,016,252.88/21,787.35
  6. Step 6: Final answer
    x = 10,511.43

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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.