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Finding the Fourth Proportional to 20,465.78, 30,713.25 and 8,782.34

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Solution

The fourth proportional to 20,465.78, 30,713.25 and 8,782.34 is: 13,179.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,465.78 : 30,713.25 = 8,782.34 : x
  2. Step 2: Convert to fraction form
    20,465.78/30,713.25 = 8,782.34/x
  3. Step 3: Cross multiply
    20,465.78x = 30,713.25 × 8,782.34
  4. Step 4: Simplify right side
    20,465.78x = 269,734,204.01
  5. Step 5: Solve for x
    x = 269,734,204.01/20,465.78
  6. Step 6: Final answer
    x = 13,179.77

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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.