Home / 2,509.62-3,764.67-777.78

Finding the Fourth Proportional to 2,509.62, 3,764.67 and 777.78

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Solution

The fourth proportional to 2,509.62, 3,764.67 and 777.78 is: 1,166.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.62 : 3,764.67 = 777.78 : x
  2. Step 2: Convert to fraction form
    2,509.62/3,764.67 = 777.78/x
  3. Step 3: Cross multiply
    2,509.62x = 3,764.67 × 777.78
  4. Step 4: Simplify right side
    2,509.62x = 2,928,085.03
  5. Step 5: Solve for x
    x = 2,928,085.03/2,509.62
  6. Step 6: Final answer
    x = 1,166.74

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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.