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Finding the Fourth Proportional to 21,662.66, 32,493.99 and 7,811.66

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Solution

The fourth proportional to 21,662.66, 32,493.99 and 7,811.66 is: 11,717.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,662.66 : 32,493.99 = 7,811.66 : x
  2. Step 2: Convert to fraction form
    21,662.66/32,493.99 = 7,811.66/x
  3. Step 3: Cross multiply
    21,662.66x = 32,493.99 × 7,811.66
  4. Step 4: Simplify right side
    21,662.66x = 253,831,839.45
  5. Step 5: Solve for x
    x = 253,831,839.45/21,662.66
  6. Step 6: Final answer
    x = 11,717.49

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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.