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Finding the Fourth Proportional to 20,309.63, 30,462.51 and 6,265.88

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Solution

The fourth proportional to 20,309.63, 30,462.51 and 6,265.88 is: 9,398.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,309.63 : 30,462.51 = 6,265.88 : x
  2. Step 2: Convert to fraction form
    20,309.63/30,462.51 = 6,265.88/x
  3. Step 3: Cross multiply
    20,309.63x = 30,462.51 × 6,265.88
  4. Step 4: Simplify right side
    20,309.63x = 190,874,400.83
  5. Step 5: Solve for x
    x = 190,874,400.83/20,309.63
  6. Step 6: Final answer
    x = 9,398.22

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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.