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Finding the Fourth Proportional to 30,980.23, 46,472.12 and 8,791.87

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Solution

The fourth proportional to 30,980.23, 46,472.12 and 8,791.87 is: 13,188.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,980.23 : 46,472.12 = 8,791.87 : x
  2. Step 2: Convert to fraction form
    30,980.23/46,472.12 = 8,791.87/x
  3. Step 3: Cross multiply
    30,980.23x = 46,472.12 × 8,791.87
  4. Step 4: Simplify right side
    30,980.23x = 408,576,837.66
  5. Step 5: Solve for x
    x = 408,576,837.66/30,980.23
  6. Step 6: Final answer
    x = 13,188.31

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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.