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Finding the Fourth Proportional to 20,642.65, 30,951.01 and 9,401.47

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Solution

The fourth proportional to 20,642.65, 30,951.01 and 9,401.47 is: 14,096.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,642.65 : 30,951.01 = 9,401.47 : x
  2. Step 2: Convert to fraction form
    20,642.65/30,951.01 = 9,401.47/x
  3. Step 3: Cross multiply
    20,642.65x = 30,951.01 × 9,401.47
  4. Step 4: Simplify right side
    20,642.65x = 290,984,926.36
  5. Step 5: Solve for x
    x = 290,984,926.36/20,642.65
  6. Step 6: Final answer
    x = 14,096.30

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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.