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Finding the Fourth Proportional to 3,788.32, 5,674.92 and 3,009.64

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Solution

The fourth proportional to 3,788.32, 5,674.92 and 3,009.64 is: 4,508.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.32 : 5,674.92 = 3,009.64 : x
  2. Step 2: Convert to fraction form
    3,788.32/5,674.92 = 3,009.64/x
  3. Step 3: Cross multiply
    3,788.32x = 5,674.92 × 3,009.64
  4. Step 4: Simplify right side
    3,788.32x = 17,079,466.23
  5. Step 5: Solve for x
    x = 17,079,466.23/3,788.32
  6. Step 6: Final answer
    x = 4,508.45

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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.