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Finding the Fourth Proportional to 21,756, 30,023.90 and 12,324.57

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Solution

The fourth proportional to 21,756, 30,023.90 and 12,324.57 is: 17,008.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,756 : 30,023.90 = 12,324.57 : x
  2. Step 2: Convert to fraction form
    21,756/30,023.90 = 12,324.57/x
  3. Step 3: Cross multiply
    21,756x = 30,023.90 × 12,324.57
  4. Step 4: Simplify right side
    21,756x = 370,031,657.22
  5. Step 5: Solve for x
    x = 370,031,657.22/21,756
  6. Step 6: Final answer
    x = 17,008.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.