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Finding the Fourth Proportional to 4,747.74, 7,121.41 and 1,585.30

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Solution

The fourth proportional to 4,747.74, 7,121.41 and 1,585.30 is: 2,377.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,747.74 : 7,121.41 = 1,585.30 : x
  2. Step 2: Convert to fraction form
    4,747.74/7,121.41 = 1,585.30/x
  3. Step 3: Cross multiply
    4,747.74x = 7,121.41 × 1,585.30
  4. Step 4: Simplify right side
    4,747.74x = 11,289,571.27
  5. Step 5: Solve for x
    x = 11,289,571.27/4,747.74
  6. Step 6: Final answer
    x = 2,377.88

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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.