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Finding the Fourth Proportional to 21,720, 29,976 and 12,288.48

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Solution

The fourth proportional to 21,720, 29,976 and 12,288.48 is: 16,959.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,720 : 29,976 = 12,288.48 : x
  2. Step 2: Convert to fraction form
    21,720/29,976 = 12,288.48/x
  3. Step 3: Cross multiply
    21,720x = 29,976 × 12,288.48
  4. Step 4: Simplify right side
    21,720x = 368,359,476.48
  5. Step 5: Solve for x
    x = 368,359,476.48/21,720
  6. Step 6: Final answer
    x = 16,959.46

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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.