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Finding the Fourth Proportional to 7,146.87, 10,719.97 and 1,952.76

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Solution

The fourth proportional to 7,146.87, 10,719.97 and 1,952.76 is: 2,929.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.87 : 10,719.97 = 1,952.76 : x
  2. Step 2: Convert to fraction form
    7,146.87/10,719.97 = 1,952.76/x
  3. Step 3: Cross multiply
    7,146.87x = 10,719.97 × 1,952.76
  4. Step 4: Simplify right side
    7,146.87x = 20,933,528.62
  5. Step 5: Solve for x
    x = 20,933,528.62/7,146.87
  6. Step 6: Final answer
    x = 2,929.05

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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.