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Finding the Fourth Proportional to 3,106.46, 4,659.56 and 766.35

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Solution

The fourth proportional to 3,106.46, 4,659.56 and 766.35 is: 1,149.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.46 : 4,659.56 = 766.35 : x
  2. Step 2: Convert to fraction form
    3,106.46/4,659.56 = 766.35/x
  3. Step 3: Cross multiply
    3,106.46x = 4,659.56 × 766.35
  4. Step 4: Simplify right side
    3,106.46x = 3,570,853.81
  5. Step 5: Solve for x
    x = 3,570,853.81/3,106.46
  6. Step 6: Final answer
    x = 1,149.49

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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.