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Finding the Fourth Proportional to 31,586, 47,379.18 and 13,118

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Solution

The fourth proportional to 31,586, 47,379.18 and 13,118 is: 19,677.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,586 : 47,379.18 = 13,118 : x
  2. Step 2: Convert to fraction form
    31,586/47,379.18 = 13,118/x
  3. Step 3: Cross multiply
    31,586x = 47,379.18 × 13,118
  4. Step 4: Simplify right side
    31,586x = 621,520,083.24
  5. Step 5: Solve for x
    x = 621,520,083.24/31,586
  6. Step 6: Final answer
    x = 19,677.07

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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.