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Finding the Fourth Proportional to 3,074.92, 4,612.14 and 766.36

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Solution

The fourth proportional to 3,074.92, 4,612.14 and 766.36 is: 1,149.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.92 : 4,612.14 = 766.36 : x
  2. Step 2: Convert to fraction form
    3,074.92/4,612.14 = 766.36/x
  3. Step 3: Cross multiply
    3,074.92x = 4,612.14 × 766.36
  4. Step 4: Simplify right side
    3,074.92x = 3,534,559.61
  5. Step 5: Solve for x
    x = 3,534,559.61/3,074.92
  6. Step 6: Final answer
    x = 1,149.48

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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.