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Finding the Fourth Proportional to 10,291.75, 14,203.22 and 5,815.39

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Solution

The fourth proportional to 10,291.75, 14,203.22 and 5,815.39 is: 8,025.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.75 : 14,203.22 = 5,815.39 : x
  2. Step 2: Convert to fraction form
    10,291.75/14,203.22 = 5,815.39/x
  3. Step 3: Cross multiply
    10,291.75x = 14,203.22 × 5,815.39
  4. Step 4: Simplify right side
    10,291.75x = 82,597,263.56
  5. Step 5: Solve for x
    x = 82,597,263.56/10,291.75
  6. Step 6: Final answer
    x = 8,025.58

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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.