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Finding the Fourth Proportional to 13,964.70, 20,947.05 and 5,756.70

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Solution

The fourth proportional to 13,964.70, 20,947.05 and 5,756.70 is: 8,635.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,964.70 : 20,947.05 = 5,756.70 : x
  2. Step 2: Convert to fraction form
    13,964.70/20,947.05 = 5,756.70/x
  3. Step 3: Cross multiply
    13,964.70x = 20,947.05 × 5,756.70
  4. Step 4: Simplify right side
    13,964.70x = 120,585,882.74
  5. Step 5: Solve for x
    x = 120,585,882.74/13,964.70
  6. Step 6: Final answer
    x = 8,635.05

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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.