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Finding the Fourth Proportional to 5,164.64, 7,742 and 3,310.56

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Solution

The fourth proportional to 5,164.64, 7,742 and 3,310.56 is: 4,962.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.64 : 7,742 = 3,310.56 : x
  2. Step 2: Convert to fraction form
    5,164.64/7,742 = 3,310.56/x
  3. Step 3: Cross multiply
    5,164.64x = 7,742 × 3,310.56
  4. Step 4: Simplify right side
    5,164.64x = 25,630,355.52
  5. Step 5: Solve for x
    x = 25,630,355.52/5,164.64
  6. Step 6: Final answer
    x = 4,962.66

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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.