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Finding the Fourth Proportional to 21,957.90, 32,905.80 and 12,584.04

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Solution

The fourth proportional to 21,957.90, 32,905.80 and 12,584.04 is: 18,858.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,957.90 : 32,905.80 = 12,584.04 : x
  2. Step 2: Convert to fraction form
    21,957.90/32,905.80 = 12,584.04/x
  3. Step 3: Cross multiply
    21,957.90x = 32,905.80 × 12,584.04
  4. Step 4: Simplify right side
    21,957.90x = 414,087,903.43
  5. Step 5: Solve for x
    x = 414,087,903.43/21,957.90
  6. Step 6: Final answer
    x = 18,858.27

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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.