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Finding the Fourth Proportional to 5,097.20, 7,647.60 and 4,917.20

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Solution

The fourth proportional to 5,097.20, 7,647.60 and 4,917.20 is: 7,377.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.20 : 7,647.60 = 4,917.20 : x
  2. Step 2: Convert to fraction form
    5,097.20/7,647.60 = 4,917.20/x
  3. Step 3: Cross multiply
    5,097.20x = 7,647.60 × 4,917.20
  4. Step 4: Simplify right side
    5,097.20x = 37,604,778.72
  5. Step 5: Solve for x
    x = 37,604,778.72/5,097.20
  6. Step 6: Final answer
    x = 7,377.54

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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.