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Finding the Fourth Proportional to 7,138.76, 10,708.26 and 1,944.76

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Solution

The fourth proportional to 7,138.76, 10,708.26 and 1,944.76 is: 2,917.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.76 : 10,708.26 = 1,944.76 : x
  2. Step 2: Convert to fraction form
    7,138.76/10,708.26 = 1,944.76/x
  3. Step 3: Cross multiply
    7,138.76x = 10,708.26 × 1,944.76
  4. Step 4: Simplify right side
    7,138.76x = 20,824,995.72
  5. Step 5: Solve for x
    x = 20,824,995.72/7,138.76
  6. Step 6: Final answer
    x = 2,917.17

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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.