Home / 3,106.16-4,659.12-766.17

Finding the Fourth Proportional to 3,106.16, 4,659.12 and 766.17

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Solution

The fourth proportional to 3,106.16, 4,659.12 and 766.17 is: 1,149.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.16 : 4,659.12 = 766.17 : x
  2. Step 2: Convert to fraction form
    3,106.16/4,659.12 = 766.17/x
  3. Step 3: Cross multiply
    3,106.16x = 4,659.12 × 766.17
  4. Step 4: Simplify right side
    3,106.16x = 3,569,677.97
  5. Step 5: Solve for x
    x = 3,569,677.97/3,106.16
  6. Step 6: Final answer
    x = 1,149.23

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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.