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Finding the Fourth Proportional to 4,782.74, 7,176.89 and 2,009.20

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Solution

The fourth proportional to 4,782.74, 7,176.89 and 2,009.20 is: 3,014.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.74 : 7,176.89 = 2,009.20 : x
  2. Step 2: Convert to fraction form
    4,782.74/7,176.89 = 2,009.20/x
  3. Step 3: Cross multiply
    4,782.74x = 7,176.89 × 2,009.20
  4. Step 4: Simplify right side
    4,782.74x = 14,419,807.39
  5. Step 5: Solve for x
    x = 14,419,807.39/4,782.74
  6. Step 6: Final answer
    x = 3,014.97

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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.