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Finding the Fourth Proportional to 21,992, 30,326.16 and 15,285.20

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Solution

The fourth proportional to 21,992, 30,326.16 and 15,285.20 is: 21,077.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,992 : 30,326.16 = 15,285.20 : x
  2. Step 2: Convert to fraction form
    21,992/30,326.16 = 15,285.20/x
  3. Step 3: Cross multiply
    21,992x = 30,326.16 × 15,285.20
  4. Step 4: Simplify right side
    21,992x = 463,541,420.83
  5. Step 5: Solve for x
    x = 463,541,420.83/21,992
  6. Step 6: Final answer
    x = 21,077.73

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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.