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Finding the Fourth Proportional to 4,747.74, 7,119.80 and 2,283.72

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Solution

The fourth proportional to 4,747.74, 7,119.80 and 2,283.72 is: 3,424.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,747.74 : 7,119.80 = 2,283.72 : x
  2. Step 2: Convert to fraction form
    4,747.74/7,119.80 = 2,283.72/x
  3. Step 3: Cross multiply
    4,747.74x = 7,119.80 × 2,283.72
  4. Step 4: Simplify right side
    4,747.74x = 16,259,629.66
  5. Step 5: Solve for x
    x = 16,259,629.66/4,747.74
  6. Step 6: Final answer
    x = 3,424.71

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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.