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Finding the Fourth Proportional to 3,039.65, 4,559.47 and 731.15

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Solution

The fourth proportional to 3,039.65, 4,559.47 and 731.15 is: 1,096.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,039.65 : 4,559.47 = 731.15 : x
  2. Step 2: Convert to fraction form
    3,039.65/4,559.47 = 731.15/x
  3. Step 3: Cross multiply
    3,039.65x = 4,559.47 × 731.15
  4. Step 4: Simplify right side
    3,039.65x = 3,333,630.04
  5. Step 5: Solve for x
    x = 3,333,630.04/3,039.65
  6. Step 6: Final answer
    x = 1,096.72

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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.