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Finding the Fourth Proportional to 31,234, 46,857.48 and 12,766

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Solution

The fourth proportional to 31,234, 46,857.48 and 12,766 is: 19,151.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,234 : 46,857.48 = 12,766 : x
  2. Step 2: Convert to fraction form
    31,234/46,857.48 = 12,766/x
  3. Step 3: Cross multiply
    31,234x = 46,857.48 × 12,766
  4. Step 4: Simplify right side
    31,234x = 598,182,589.68
  5. Step 5: Solve for x
    x = 598,182,589.68/31,234
  6. Step 6: Final answer
    x = 19,151.65

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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.