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Finding the Fourth Proportional to 4,975.71, 7,463.09 and 3,121.22

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Solution

The fourth proportional to 4,975.71, 7,463.09 and 3,121.22 is: 4,681.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,975.71 : 7,463.09 = 3,121.22 : x
  2. Step 2: Convert to fraction form
    4,975.71/7,463.09 = 3,121.22/x
  3. Step 3: Cross multiply
    4,975.71x = 7,463.09 × 3,121.22
  4. Step 4: Simplify right side
    4,975.71x = 23,293,892.85
  5. Step 5: Solve for x
    x = 23,293,892.85/4,975.71
  6. Step 6: Final answer
    x = 4,681.52

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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.