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Finding the Fourth Proportional to 7,170.76, 10,756.14 and 1,976.68

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Solution

The fourth proportional to 7,170.76, 10,756.14 and 1,976.68 is: 2,965.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,170.76 : 10,756.14 = 1,976.68 : x
  2. Step 2: Convert to fraction form
    7,170.76/10,756.14 = 1,976.68/x
  3. Step 3: Cross multiply
    7,170.76x = 10,756.14 × 1,976.68
  4. Step 4: Simplify right side
    7,170.76x = 21,261,446.82
  5. Step 5: Solve for x
    x = 21,261,446.82/7,170.76
  6. Step 6: Final answer
    x = 2,965.02

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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.