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Finding the Fourth Proportional to 7,791.42, 10,750.41 and 4,647

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Solution

The fourth proportional to 7,791.42, 10,750.41 and 4,647 is: 6,411.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,791.42 : 10,750.41 = 4,647 : x
  2. Step 2: Convert to fraction form
    7,791.42/10,750.41 = 4,647/x
  3. Step 3: Cross multiply
    7,791.42x = 10,750.41 × 4,647
  4. Step 4: Simplify right side
    7,791.42x = 49,957,155.27
  5. Step 5: Solve for x
    x = 49,957,155.27/7,791.42
  6. Step 6: Final answer
    x = 6,411.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.