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Finding the Fourth Proportional to 21,909.60, 32,842.80 and 8,744.40

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Solution

The fourth proportional to 21,909.60, 32,842.80 and 8,744.40 is: 13,107.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,909.60 : 32,842.80 = 8,744.40 : x
  2. Step 2: Convert to fraction form
    21,909.60/32,842.80 = 8,744.40/x
  3. Step 3: Cross multiply
    21,909.60x = 32,842.80 × 8,744.40
  4. Step 4: Simplify right side
    21,909.60x = 287,190,580.32
  5. Step 5: Solve for x
    x = 287,190,580.32/21,909.60
  6. Step 6: Final answer
    x = 13,107.98

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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.