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Finding the Fourth Proportional to 20,958.66, 31,437.16 and 7,107.66

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Solution

The fourth proportional to 20,958.66, 31,437.16 and 7,107.66 is: 10,661.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,958.66 : 31,437.16 = 7,107.66 : x
  2. Step 2: Convert to fraction form
    20,958.66/31,437.16 = 7,107.66/x
  3. Step 3: Cross multiply
    20,958.66x = 31,437.16 × 7,107.66
  4. Step 4: Simplify right side
    20,958.66x = 223,444,644.65
  5. Step 5: Solve for x
    x = 223,444,644.65/20,958.66
  6. Step 6: Final answer
    x = 10,661.21

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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.