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Finding the Fourth Proportional to 5,165.15, 7,747.73 and 1,416.96

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Solution

The fourth proportional to 5,165.15, 7,747.73 and 1,416.96 is: 2,125.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.15 : 7,747.73 = 1,416.96 : x
  2. Step 2: Convert to fraction form
    5,165.15/7,747.73 = 1,416.96/x
  3. Step 3: Cross multiply
    5,165.15x = 7,747.73 × 1,416.96
  4. Step 4: Simplify right side
    5,165.15x = 10,978,223.50
  5. Step 5: Solve for x
    x = 10,978,223.50/5,165.15
  6. Step 6: Final answer
    x = 2,125.44

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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.