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Finding the Fourth Proportional to 21,792, 30,073.20 and 11,856

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Solution

The fourth proportional to 21,792, 30,073.20 and 11,856 is: 16,361.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,792 : 30,073.20 = 11,856 : x
  2. Step 2: Convert to fraction form
    21,792/30,073.20 = 11,856/x
  3. Step 3: Cross multiply
    21,792x = 30,073.20 × 11,856
  4. Step 4: Simplify right side
    21,792x = 356,547,859.20
  5. Step 5: Solve for x
    x = 356,547,859.20/21,792
  6. Step 6: Final answer
    x = 16,361.41

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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.