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Finding the Fourth Proportional to 20,384, 30,576 and 6,534.08

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Solution

The fourth proportional to 20,384, 30,576 and 6,534.08 is: 9,801.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,384 : 30,576 = 6,534.08 : x
  2. Step 2: Convert to fraction form
    20,384/30,576 = 6,534.08/x
  3. Step 3: Cross multiply
    20,384x = 30,576 × 6,534.08
  4. Step 4: Simplify right side
    20,384x = 199,786,030.08
  5. Step 5: Solve for x
    x = 199,786,030.08/20,384
  6. Step 6: Final answer
    x = 9,801.12

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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.