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Finding the Fourth Proportional to 8,062, 11,127.48 and 4,920.82

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Solution

The fourth proportional to 8,062, 11,127.48 and 4,920.82 is: 6,791.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,062 : 11,127.48 = 4,920.82 : x
  2. Step 2: Convert to fraction form
    8,062/11,127.48 = 4,920.82/x
  3. Step 3: Cross multiply
    8,062x = 11,127.48 × 4,920.82
  4. Step 4: Simplify right side
    8,062x = 54,756,326.13
  5. Step 5: Solve for x
    x = 54,756,326.13/8,062
  6. Step 6: Final answer
    x = 6,791.90

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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.