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Finding the Fourth Proportional to 8,175, 12,243 and 4,704.96

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Solution

The fourth proportional to 8,175, 12,243 and 4,704.96 is: 7,046.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,175 : 12,243 = 4,704.96 : x
  2. Step 2: Convert to fraction form
    8,175/12,243 = 4,704.96/x
  3. Step 3: Cross multiply
    8,175x = 12,243 × 4,704.96
  4. Step 4: Simplify right side
    8,175x = 57,602,825.28
  5. Step 5: Solve for x
    x = 57,602,825.28/8,175
  6. Step 6: Final answer
    x = 7,046.22

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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.