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Finding the Fourth Proportional to 7,138.57, 10,708.14 and 1,944.43

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Solution

The fourth proportional to 7,138.57, 10,708.14 and 1,944.43 is: 2,916.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.57 : 10,708.14 = 1,944.43 : x
  2. Step 2: Convert to fraction form
    7,138.57/10,708.14 = 1,944.43/x
  3. Step 3: Cross multiply
    7,138.57x = 10,708.14 × 1,944.43
  4. Step 4: Simplify right side
    7,138.57x = 20,821,228.66
  5. Step 5: Solve for x
    x = 20,821,228.66/7,138.57
  6. Step 6: Final answer
    x = 2,916.72

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1.5x scale

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.