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Finding the Fourth Proportional to 20,806.05, 31,206 and 7,655.36

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Solution

The fourth proportional to 20,806.05, 31,206 and 7,655.36 is: 11,481.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,806.05 : 31,206 = 7,655.36 : x
  2. Step 2: Convert to fraction form
    20,806.05/31,206 = 7,655.36/x
  3. Step 3: Cross multiply
    20,806.05x = 31,206 × 7,655.36
  4. Step 4: Simplify right side
    20,806.05x = 238,893,164.16
  5. Step 5: Solve for x
    x = 238,893,164.16/20,806.05
  6. Step 6: Final answer
    x = 11,481.91

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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.