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Finding the Fourth Proportional to 21,578, 32,367 and 5,995.76

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Solution

The fourth proportional to 21,578, 32,367 and 5,995.76 is: 8,993.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,578 : 32,367 = 5,995.76 : x
  2. Step 2: Convert to fraction form
    21,578/32,367 = 5,995.76/x
  3. Step 3: Cross multiply
    21,578x = 32,367 × 5,995.76
  4. Step 4: Simplify right side
    21,578x = 194,064,763.92
  5. Step 5: Solve for x
    x = 194,064,763.92/21,578
  6. Step 6: Final answer
    x = 8,993.64

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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.