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Finding the Fourth Proportional to 21,024.62, 31,536 and 5,229.32

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Solution

The fourth proportional to 21,024.62, 31,536 and 5,229.32 is: 7,843.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,024.62 : 31,536 = 5,229.32 : x
  2. Step 2: Convert to fraction form
    21,024.62/31,536 = 5,229.32/x
  3. Step 3: Cross multiply
    21,024.62x = 31,536 × 5,229.32
  4. Step 4: Simplify right side
    21,024.62x = 164,911,835.52
  5. Step 5: Solve for x
    x = 164,911,835.52/21,024.62
  6. Step 6: Final answer
    x = 7,843.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.