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Finding the Fourth Proportional to 8,175.86, 12,271.49 and 4,283

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Solution

The fourth proportional to 8,175.86, 12,271.49 and 4,283 is: 6,428.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,175.86 : 12,271.49 = 4,283 : x
  2. Step 2: Convert to fraction form
    8,175.86/12,271.49 = 4,283/x
  3. Step 3: Cross multiply
    8,175.86x = 12,271.49 × 4,283
  4. Step 4: Simplify right side
    8,175.86x = 52,558,791.67
  5. Step 5: Solve for x
    x = 52,558,791.67/8,175.86
  6. Step 6: Final answer
    x = 6,428.53

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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.