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Finding the Fourth Proportional to 2,709.20, 4,063.80 and 2,574.80

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Solution

The fourth proportional to 2,709.20, 4,063.80 and 2,574.80 is: 3,862.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.20 : 4,063.80 = 2,574.80 : x
  2. Step 2: Convert to fraction form
    2,709.20/4,063.80 = 2,574.80/x
  3. Step 3: Cross multiply
    2,709.20x = 4,063.80 × 2,574.80
  4. Step 4: Simplify right side
    2,709.20x = 10,463,472.24
  5. Step 5: Solve for x
    x = 10,463,472.24/2,709.20
  6. Step 6: Final answer
    x = 3,862.20

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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.