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Finding the Fourth Proportional to 20,392.80, 30,585.84 and 6,540

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Solution

The fourth proportional to 20,392.80, 30,585.84 and 6,540 is: 9,808.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,392.80 : 30,585.84 = 6,540 : x
  2. Step 2: Convert to fraction form
    20,392.80/30,585.84 = 6,540/x
  3. Step 3: Cross multiply
    20,392.80x = 30,585.84 × 6,540
  4. Step 4: Simplify right side
    20,392.80x = 200,031,393.60
  5. Step 5: Solve for x
    x = 200,031,393.60/20,392.80
  6. Step 6: Final answer
    x = 9,808.92

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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.