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Finding the Fourth Proportional to 21,147.80, 31,723.86 and 7,295

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Solution

The fourth proportional to 21,147.80, 31,723.86 and 7,295 is: 10,943.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,147.80 : 31,723.86 = 7,295 : x
  2. Step 2: Convert to fraction form
    21,147.80/31,723.86 = 7,295/x
  3. Step 3: Cross multiply
    21,147.80x = 31,723.86 × 7,295
  4. Step 4: Simplify right side
    21,147.80x = 231,425,558.70
  5. Step 5: Solve for x
    x = 231,425,558.70/21,147.80
  6. Step 6: Final answer
    x = 10,943.25

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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.