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Finding the Fourth Proportional to 7,171.64, 10,756.77 and 1,906.77

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Solution

The fourth proportional to 7,171.64, 10,756.77 and 1,906.77 is: 2,859.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.64 : 10,756.77 = 1,906.77 : x
  2. Step 2: Convert to fraction form
    7,171.64/10,756.77 = 1,906.77/x
  3. Step 3: Cross multiply
    7,171.64x = 10,756.77 × 1,906.77
  4. Step 4: Simplify right side
    7,171.64x = 20,510,719.52
  5. Step 5: Solve for x
    x = 20,510,719.52/7,171.64
  6. Step 6: Final answer
    x = 2,859.98

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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.