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Finding the Fourth Proportional to 20,930, 31,397.06 and 6,884.32

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Solution

The fourth proportional to 20,930, 31,397.06 and 6,884.32 is: 10,327.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,930 : 31,397.06 = 6,884.32 : x
  2. Step 2: Convert to fraction form
    20,930/31,397.06 = 6,884.32/x
  3. Step 3: Cross multiply
    20,930x = 31,397.06 × 6,884.32
  4. Step 4: Simplify right side
    20,930x = 216,147,408.10
  5. Step 5: Solve for x
    x = 216,147,408.10/20,930
  6. Step 6: Final answer
    x = 10,327.16

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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.