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Finding the Fourth Proportional to 9,340.39, 14,012.25 and 3,100.78

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Solution

The fourth proportional to 9,340.39, 14,012.25 and 3,100.78 is: 4,651.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,340.39 : 14,012.25 = 3,100.78 : x
  2. Step 2: Convert to fraction form
    9,340.39/14,012.25 = 3,100.78/x
  3. Step 3: Cross multiply
    9,340.39x = 14,012.25 × 3,100.78
  4. Step 4: Simplify right side
    9,340.39x = 43,448,904.56
  5. Step 5: Solve for x
    x = 43,448,904.56/9,340.39
  6. Step 6: Final answer
    x = 4,651.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.