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Finding the Fourth Proportional to 21,405.66, 32,100.49 and 7,361.70

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Solution

The fourth proportional to 21,405.66, 32,100.49 and 7,361.70 is: 11,039.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,405.66 : 32,100.49 = 7,361.70 : x
  2. Step 2: Convert to fraction form
    21,405.66/32,100.49 = 7,361.70/x
  3. Step 3: Cross multiply
    21,405.66x = 32,100.49 × 7,361.70
  4. Step 4: Simplify right side
    21,405.66x = 236,314,177.23
  5. Step 5: Solve for x
    x = 236,314,177.23/21,405.66
  6. Step 6: Final answer
    x = 11,039.80

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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.