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Finding the Fourth Proportional to 7,170.75, 10,756.71 and 1,976.67

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Solution

The fourth proportional to 7,170.75, 10,756.71 and 1,976.67 is: 2,965.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,170.75 : 10,756.71 = 1,976.67 : x
  2. Step 2: Convert to fraction form
    7,170.75/10,756.71 = 1,976.67/x
  3. Step 3: Cross multiply
    7,170.75x = 10,756.71 × 1,976.67
  4. Step 4: Simplify right side
    7,170.75x = 21,262,465.96
  5. Step 5: Solve for x
    x = 21,262,465.96/7,170.75
  6. Step 6: Final answer
    x = 2,965.17

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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.