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Finding the Fourth Proportional to 21,884.64, 32,826.96 and 9,564

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Solution

The fourth proportional to 21,884.64, 32,826.96 and 9,564 is: 14,346

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,884.64 : 32,826.96 = 9,564 : x
  2. Step 2: Convert to fraction form
    21,884.64/32,826.96 = 9,564/x
  3. Step 3: Cross multiply
    21,884.64x = 32,826.96 × 9,564
  4. Step 4: Simplify right side
    21,884.64x = 313,957,045.44
  5. Step 5: Solve for x
    x = 313,957,045.44/21,884.64
  6. Step 6: Final answer
    x = 14,346

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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.