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Finding the Fourth Proportional to 21,327, 31,990.59 and 6,534.78

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Solution

The fourth proportional to 21,327, 31,990.59 and 6,534.78 is: 9,802.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,327 : 31,990.59 = 6,534.78 : x
  2. Step 2: Convert to fraction form
    21,327/31,990.59 = 6,534.78/x
  3. Step 3: Cross multiply
    21,327x = 31,990.59 × 6,534.78
  4. Step 4: Simplify right side
    21,327x = 209,051,467.72
  5. Step 5: Solve for x
    x = 209,051,467.72/21,327
  6. Step 6: Final answer
    x = 9,802.20

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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.