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Finding the Fourth Proportional to 20,796, 31,175.28 and 7,645.56

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Solution

The fourth proportional to 20,796, 31,175.28 and 7,645.56 is: 11,461.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,796 : 31,175.28 = 7,645.56 : x
  2. Step 2: Convert to fraction form
    20,796/31,175.28 = 7,645.56/x
  3. Step 3: Cross multiply
    20,796x = 31,175.28 × 7,645.56
  4. Step 4: Simplify right side
    20,796x = 238,352,473.76
  5. Step 5: Solve for x
    x = 238,352,473.76/20,796
  6. Step 6: Final answer
    x = 11,461.46

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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.