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Finding the Fourth Proportional to 31,879.74, 47,821.32 and 9,691.45

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Solution

The fourth proportional to 31,879.74, 47,821.32 and 9,691.45 is: 14,537.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,879.74 : 47,821.32 = 9,691.45 : x
  2. Step 2: Convert to fraction form
    31,879.74/47,821.32 = 9,691.45/x
  3. Step 3: Cross multiply
    31,879.74x = 47,821.32 × 9,691.45
  4. Step 4: Simplify right side
    31,879.74x = 463,457,812.16
  5. Step 5: Solve for x
    x = 463,457,812.16/31,879.74
  6. Step 6: Final answer
    x = 14,537.69

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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.