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Finding the Fourth Proportional to 21,372.48, 29,489.76 and 12,420

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Solution

The fourth proportional to 21,372.48, 29,489.76 and 12,420 is: 17,137.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,372.48 : 29,489.76 = 12,420 : x
  2. Step 2: Convert to fraction form
    21,372.48/29,489.76 = 12,420/x
  3. Step 3: Cross multiply
    21,372.48x = 29,489.76 × 12,420
  4. Step 4: Simplify right side
    21,372.48x = 366,262,819.20
  5. Step 5: Solve for x
    x = 366,262,819.20/21,372.48
  6. Step 6: Final answer
    x = 17,137.12

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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.