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Finding the Fourth Proportional to 20,841, 31,256.76 and 6,046.68

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Solution

The fourth proportional to 20,841, 31,256.76 and 6,046.68 is: 9,068.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,841 : 31,256.76 = 6,046.68 : x
  2. Step 2: Convert to fraction form
    20,841/31,256.76 = 6,046.68/x
  3. Step 3: Cross multiply
    20,841x = 31,256.76 × 6,046.68
  4. Step 4: Simplify right side
    20,841x = 188,999,625.56
  5. Step 5: Solve for x
    x = 188,999,625.56/20,841
  6. Step 6: Final answer
    x = 9,068.64

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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.