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Finding the Fourth Proportional to 20,497.86, 30,747.06 and 5,706.42

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Solution

The fourth proportional to 20,497.86, 30,747.06 and 5,706.42 is: 8,559.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,497.86 : 30,747.06 = 5,706.42 : x
  2. Step 2: Convert to fraction form
    20,497.86/30,747.06 = 5,706.42/x
  3. Step 3: Cross multiply
    20,497.86x = 30,747.06 × 5,706.42
  4. Step 4: Simplify right side
    20,497.86x = 175,455,638.13
  5. Step 5: Solve for x
    x = 175,455,638.13/20,497.86
  6. Step 6: Final answer
    x = 8,559.71

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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.