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Finding the Fourth Proportional to 21,820.66, 32,747.28 and 8,495.74

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Solution

The fourth proportional to 21,820.66, 32,747.28 and 8,495.74 is: 12,749.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,820.66 : 32,747.28 = 8,495.74 : x
  2. Step 2: Convert to fraction form
    21,820.66/32,747.28 = 8,495.74/x
  3. Step 3: Cross multiply
    21,820.66x = 32,747.28 × 8,495.74
  4. Step 4: Simplify right side
    21,820.66x = 278,212,376.59
  5. Step 5: Solve for x
    x = 278,212,376.59/21,820.66
  6. Step 6: Final answer
    x = 12,749.95

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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.