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Finding the Fourth Proportional to 21,685, 32,530.76 and 7,837.24

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Solution

The fourth proportional to 21,685, 32,530.76 and 7,837.24 is: 11,757.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,685 : 32,530.76 = 7,837.24 : x
  2. Step 2: Convert to fraction form
    21,685/32,530.76 = 7,837.24/x
  3. Step 3: Cross multiply
    21,685x = 32,530.76 × 7,837.24
  4. Step 4: Simplify right side
    21,685x = 254,951,373.50
  5. Step 5: Solve for x
    x = 254,951,373.50/21,685
  6. Step 6: Final answer
    x = 11,757.04

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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.