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Finding the Fourth Proportional to 10,097.98, 13,934.73 and 6,118.84

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Solution

The fourth proportional to 10,097.98, 13,934.73 and 6,118.84 is: 8,443.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.98 : 13,934.73 = 6,118.84 : x
  2. Step 2: Convert to fraction form
    10,097.98/13,934.73 = 6,118.84/x
  3. Step 3: Cross multiply
    10,097.98x = 13,934.73 × 6,118.84
  4. Step 4: Simplify right side
    10,097.98x = 85,264,383.31
  5. Step 5: Solve for x
    x = 85,264,383.31/10,097.98
  6. Step 6: Final answer
    x = 8,443.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.