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Finding the Fourth Proportional to 21,274.32, 29,365 and 12,324

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Solution

The fourth proportional to 21,274.32, 29,365 and 12,324 is: 17,010.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,274.32 : 29,365 = 12,324 : x
  2. Step 2: Convert to fraction form
    21,274.32/29,365 = 12,324/x
  3. Step 3: Cross multiply
    21,274.32x = 29,365 × 12,324
  4. Step 4: Simplify right side
    21,274.32x = 361,894,260
  5. Step 5: Solve for x
    x = 361,894,260/21,274.32
  6. Step 6: Final answer
    x = 17,010.85

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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.