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Finding the Fourth Proportional to 21,295.44, 31,957.68 and 10,914.48

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Solution

The fourth proportional to 21,295.44, 31,957.68 and 10,914.48 is: 16,379.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,295.44 : 31,957.68 = 10,914.48 : x
  2. Step 2: Convert to fraction form
    21,295.44/31,957.68 = 10,914.48/x
  3. Step 3: Cross multiply
    21,295.44x = 31,957.68 × 10,914.48
  4. Step 4: Simplify right side
    21,295.44x = 348,801,459.21
  5. Step 5: Solve for x
    x = 348,801,459.21/21,295.44
  6. Step 6: Final answer
    x = 16,379.16

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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.