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Finding the Fourth Proportional to 20,801.00, 31,206.74 and 5,808.10

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Solution

The fourth proportional to 20,801.00, 31,206.74 and 5,808.10 is: 8,713.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,801.00 : 31,206.74 = 5,808.10 : x
  2. Step 2: Convert to fraction form
    20,801.00/31,206.74 = 5,808.10/x
  3. Step 3: Cross multiply
    20,801.00x = 31,206.74 × 5,808.10
  4. Step 4: Simplify right side
    20,801.00x = 181,251,837.55
  5. Step 5: Solve for x
    x = 181,251,837.55/20,801.00
  6. Step 6: Final answer
    x = 8,713.61

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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.