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Finding the Fourth Proportional to 21,651, 32,434.44 and 14,232.96

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Solution

The fourth proportional to 21,651, 32,434.44 and 14,232.96 is: 21,321.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,651 : 32,434.44 = 14,232.96 : x
  2. Step 2: Convert to fraction form
    21,651/32,434.44 = 14,232.96/x
  3. Step 3: Cross multiply
    21,651x = 32,434.44 × 14,232.96
  4. Step 4: Simplify right side
    21,651x = 461,638,087.14
  5. Step 5: Solve for x
    x = 461,638,087.14/21,651
  6. Step 6: Final answer
    x = 21,321.79

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1.5x scale

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.