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Finding the Fourth Proportional to 21,695.31, 32,505.81 and 11,841.50

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Solution

The fourth proportional to 21,695.31, 32,505.81 and 11,841.50 is: 17,741.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,695.31 : 32,505.81 = 11,841.50 : x
  2. Step 2: Convert to fraction form
    21,695.31/32,505.81 = 11,841.50/x
  3. Step 3: Cross multiply
    21,695.31x = 32,505.81 × 11,841.50
  4. Step 4: Simplify right side
    21,695.31x = 384,917,549.12
  5. Step 5: Solve for x
    x = 384,917,549.12/21,695.31
  6. Step 6: Final answer
    x = 17,741.97

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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.