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Finding the Fourth Proportional to 21,910.17, 32,865.12 and 8,765.58

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Solution

The fourth proportional to 21,910.17, 32,865.12 and 8,765.58 is: 13,148.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,910.17 : 32,865.12 = 8,765.58 : x
  2. Step 2: Convert to fraction form
    21,910.17/32,865.12 = 8,765.58/x
  3. Step 3: Cross multiply
    21,910.17x = 32,865.12 × 8,765.58
  4. Step 4: Simplify right side
    21,910.17x = 288,081,838.57
  5. Step 5: Solve for x
    x = 288,081,838.57/21,910.17
  6. Step 6: Final answer
    x = 13,148.32

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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.