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Finding the Fourth Proportional to 21,818.60, 32,723.22 and 9,969.02

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Solution

The fourth proportional to 21,818.60, 32,723.22 and 9,969.02 is: 14,951.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,818.60 : 32,723.22 = 9,969.02 : x
  2. Step 2: Convert to fraction form
    21,818.60/32,723.22 = 9,969.02/x
  3. Step 3: Cross multiply
    21,818.60x = 32,723.22 × 9,969.02
  4. Step 4: Simplify right side
    21,818.60x = 326,218,434.64
  5. Step 5: Solve for x
    x = 326,218,434.64/21,818.60
  6. Step 6: Final answer
    x = 14,951.39

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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.