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Finding the Fourth Proportional to 20,802, 31,208.24 and 5,809.10

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Solution

The fourth proportional to 20,802, 31,208.24 and 5,809.10 is: 8,715.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,802 : 31,208.24 = 5,809.10 : x
  2. Step 2: Convert to fraction form
    20,802/31,208.24 = 5,809.10/x
  3. Step 3: Cross multiply
    20,802x = 31,208.24 × 5,809.10
  4. Step 4: Simplify right side
    20,802x = 181,291,786.98
  5. Step 5: Solve for x
    x = 181,291,786.98/20,802
  6. Step 6: Final answer
    x = 8,715.11

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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.