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Finding the Fourth Proportional to 21,963, 30,309 and 12,531.36

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Solution

The fourth proportional to 21,963, 30,309 and 12,531.36 is: 17,293.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,963 : 30,309 = 12,531.36 : x
  2. Step 2: Convert to fraction form
    21,963/30,309 = 12,531.36/x
  3. Step 3: Cross multiply
    21,963x = 30,309 × 12,531.36
  4. Step 4: Simplify right side
    21,963x = 379,812,990.24
  5. Step 5: Solve for x
    x = 379,812,990.24/21,963
  6. Step 6: Final answer
    x = 17,293.31

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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.