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Finding the Fourth Proportional to 4,911.60, 7,352.82 and 4,213.38

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Solution

The fourth proportional to 4,911.60, 7,352.82 and 4,213.38 is: 6,307.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,911.60 : 7,352.82 = 4,213.38 : x
  2. Step 2: Convert to fraction form
    4,911.60/7,352.82 = 4,213.38/x
  3. Step 3: Cross multiply
    4,911.60x = 7,352.82 × 4,213.38
  4. Step 4: Simplify right side
    4,911.60x = 30,980,224.73
  5. Step 5: Solve for x
    x = 30,980,224.73/4,911.60
  6. Step 6: Final answer
    x = 6,307.56

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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.