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Finding the Fourth Proportional to 10,097.72, 13,888.49 and 8,103.90

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Solution

The fourth proportional to 10,097.72, 13,888.49 and 8,103.90 is: 11,146.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.72 : 13,888.49 = 8,103.90 : x
  2. Step 2: Convert to fraction form
    10,097.72/13,888.49 = 8,103.90/x
  3. Step 3: Cross multiply
    10,097.72x = 13,888.49 × 8,103.90
  4. Step 4: Simplify right side
    10,097.72x = 112,550,893.59
  5. Step 5: Solve for x
    x = 112,550,893.59/10,097.72
  6. Step 6: Final answer
    x = 11,146.17

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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.