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Finding the Fourth Proportional to 21,780, 32,684.64 and 10,093.44

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Solution

The fourth proportional to 21,780, 32,684.64 and 10,093.44 is: 15,146.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,780 : 32,684.64 = 10,093.44 : x
  2. Step 2: Convert to fraction form
    21,780/32,684.64 = 10,093.44/x
  3. Step 3: Cross multiply
    21,780x = 32,684.64 × 10,093.44
  4. Step 4: Simplify right side
    21,780x = 329,900,452.76
  5. Step 5: Solve for x
    x = 329,900,452.76/21,780
  6. Step 6: Final answer
    x = 15,146.94

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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.