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Finding the Fourth Proportional to 13,149.81, 19,724.70 and 3,915.81

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Solution

The fourth proportional to 13,149.81, 19,724.70 and 3,915.81 is: 5,873.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,149.81 : 19,724.70 = 3,915.81 : x
  2. Step 2: Convert to fraction form
    13,149.81/19,724.70 = 3,915.81/x
  3. Step 3: Cross multiply
    13,149.81x = 19,724.70 × 3,915.81
  4. Step 4: Simplify right side
    13,149.81x = 77,238,177.51
  5. Step 5: Solve for x
    x = 77,238,177.51/13,149.81
  6. Step 6: Final answer
    x = 5,873.71

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Why These Related Problems?

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