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Finding the Fourth Proportional to 4,788.72, 7,178.22 and 3,402

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Solution

The fourth proportional to 4,788.72, 7,178.22 and 3,402 is: 5,099.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,788.72 : 7,178.22 = 3,402 : x
  2. Step 2: Convert to fraction form
    4,788.72/7,178.22 = 3,402/x
  3. Step 3: Cross multiply
    4,788.72x = 7,178.22 × 3,402
  4. Step 4: Simplify right side
    4,788.72x = 24,420,304.44
  5. Step 5: Solve for x
    x = 24,420,304.44/4,788.72
  6. Step 6: Final answer
    x = 5,099.55

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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.