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Finding the Fourth Proportional to 13,169.14, 19,750.74 and 3,807.07

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Solution

The fourth proportional to 13,169.14, 19,750.74 and 3,807.07 is: 5,709.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,169.14 : 19,750.74 = 3,807.07 : x
  2. Step 2: Convert to fraction form
    13,169.14/19,750.74 = 3,807.07/x
  3. Step 3: Cross multiply
    13,169.14x = 19,750.74 × 3,807.07
  4. Step 4: Simplify right side
    13,169.14x = 75,192,444.53
  5. Step 5: Solve for x
    x = 75,192,444.53/13,169.14
  6. Step 6: Final answer
    x = 5,709.75

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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.