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Finding the Fourth Proportional to 21,723, 32,584.82 and 5,307

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Solution

The fourth proportional to 21,723, 32,584.82 and 5,307 is: 7,960.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,723 : 32,584.82 = 5,307 : x
  2. Step 2: Convert to fraction form
    21,723/32,584.82 = 5,307/x
  3. Step 3: Cross multiply
    21,723x = 32,584.82 × 5,307
  4. Step 4: Simplify right side
    21,723x = 172,927,639.74
  5. Step 5: Solve for x
    x = 172,927,639.74/21,723
  6. Step 6: Final answer
    x = 7,960.58

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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.