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Finding the Fourth Proportional to 21,057.32, 29,059.15 and 11,497.22

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Solution

The fourth proportional to 21,057.32, 29,059.15 and 11,497.22 is: 15,866.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,057.32 : 29,059.15 = 11,497.22 : x
  2. Step 2: Convert to fraction form
    21,057.32/29,059.15 = 11,497.22/x
  3. Step 3: Cross multiply
    21,057.32x = 29,059.15 × 11,497.22
  4. Step 4: Simplify right side
    21,057.32x = 334,099,295.27
  5. Step 5: Solve for x
    x = 334,099,295.27/21,057.32
  6. Step 6: Final answer
    x = 15,866.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.