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Finding the Fourth Proportional to 3,049.34, 4,574.66 and 940.97

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Solution

The fourth proportional to 3,049.34, 4,574.66 and 940.97 is: 1,411.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.34 : 4,574.66 = 940.97 : x
  2. Step 2: Convert to fraction form
    3,049.34/4,574.66 = 940.97/x
  3. Step 3: Cross multiply
    3,049.34x = 4,574.66 × 940.97
  4. Step 4: Simplify right side
    3,049.34x = 4,304,590.24
  5. Step 5: Solve for x
    x = 4,304,590.24/3,049.34
  6. Step 6: Final answer
    x = 1,411.65

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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.