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Finding the Fourth Proportional to 3,074.34, 4,611.53 and 765.84

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Solution

The fourth proportional to 3,074.34, 4,611.53 and 765.84 is: 1,148.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.34 : 4,611.53 = 765.84 : x
  2. Step 2: Convert to fraction form
    3,074.34/4,611.53 = 765.84/x
  3. Step 3: Cross multiply
    3,074.34x = 4,611.53 × 765.84
  4. Step 4: Simplify right side
    3,074.34x = 3,531,713.34
  5. Step 5: Solve for x
    x = 3,531,713.34/3,074.34
  6. Step 6: Final answer
    x = 1,148.77

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Similar ratio
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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.