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Finding the Fourth Proportional to 6,371, 8,791.98 and 3,576.50

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Solution

The fourth proportional to 6,371, 8,791.98 and 3,576.50 is: 4,935.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,371 : 8,791.98 = 3,576.50 : x
  2. Step 2: Convert to fraction form
    6,371/8,791.98 = 3,576.50/x
  3. Step 3: Cross multiply
    6,371x = 8,791.98 × 3,576.50
  4. Step 4: Simplify right side
    6,371x = 31,444,516.47
  5. Step 5: Solve for x
    x = 31,444,516.47/6,371
  6. Step 6: Final answer
    x = 4,935.57

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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.