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Finding the Fourth Proportional to 20,393.80, 30,587.34 and 6,541

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Solution

The fourth proportional to 20,393.80, 30,587.34 and 6,541 is: 9,810.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,393.80 : 30,587.34 = 6,541 : x
  2. Step 2: Convert to fraction form
    20,393.80/30,587.34 = 6,541/x
  3. Step 3: Cross multiply
    20,393.80x = 30,587.34 × 6,541
  4. Step 4: Simplify right side
    20,393.80x = 200,071,790.94
  5. Step 5: Solve for x
    x = 200,071,790.94/20,393.80
  6. Step 6: Final answer
    x = 9,810.42

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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.