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Finding the Fourth Proportional to 10,103.93, 13,943.85 and 5,627.68

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Solution

The fourth proportional to 10,103.93, 13,943.85 and 5,627.68 is: 7,766.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,103.93 : 13,943.85 = 5,627.68 : x
  2. Step 2: Convert to fraction form
    10,103.93/13,943.85 = 5,627.68/x
  3. Step 3: Cross multiply
    10,103.93x = 13,943.85 × 5,627.68
  4. Step 4: Simplify right side
    10,103.93x = 78,471,490.91
  5. Step 5: Solve for x
    x = 78,471,490.91/10,103.93
  6. Step 6: Final answer
    x = 7,766.43

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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.