Home / 3,106.32-4,659.44-766.35

Finding the Fourth Proportional to 3,106.32, 4,659.44 and 766.35

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Solution

The fourth proportional to 3,106.32, 4,659.44 and 766.35 is: 1,149.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.32 : 4,659.44 = 766.35 : x
  2. Step 2: Convert to fraction form
    3,106.32/4,659.44 = 766.35/x
  3. Step 3: Cross multiply
    3,106.32x = 4,659.44 × 766.35
  4. Step 4: Simplify right side
    3,106.32x = 3,570,758.01
  5. Step 5: Solve for x
    x = 3,570,758.01/3,106.32
  6. Step 6: Final answer
    x = 1,149.51

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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.