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Finding the Fourth Proportional to 28,613.88, 42,920.01 and 7,837.38

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Solution

The fourth proportional to 28,613.88, 42,920.01 and 7,837.38 is: 11,755.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,613.88 : 42,920.01 = 7,837.38 : x
  2. Step 2: Convert to fraction form
    28,613.88/42,920.01 = 7,837.38/x
  3. Step 3: Cross multiply
    28,613.88x = 42,920.01 × 7,837.38
  4. Step 4: Simplify right side
    28,613.88x = 336,380,427.97
  5. Step 5: Solve for x
    x = 336,380,427.97/28,613.88
  6. Step 6: Final answer
    x = 11,755.85

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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.