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Finding the Fourth Proportional to 13,138.70, 19,708.05 and 3,904.70

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Solution

The fourth proportional to 13,138.70, 19,708.05 and 3,904.70 is: 5,857.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,138.70 : 19,708.05 = 3,904.70 : x
  2. Step 2: Convert to fraction form
    13,138.70/19,708.05 = 3,904.70/x
  3. Step 3: Cross multiply
    13,138.70x = 19,708.05 × 3,904.70
  4. Step 4: Simplify right side
    13,138.70x = 76,954,022.84
  5. Step 5: Solve for x
    x = 76,954,022.84/13,138.70
  6. Step 6: Final answer
    x = 5,857.05

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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.