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Finding the Fourth Proportional to 7,120.74, 10,687.74 and 3,613.24

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Solution

The fourth proportional to 7,120.74, 10,687.74 and 3,613.24 is: 5,423.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,120.74 : 10,687.74 = 3,613.24 : x
  2. Step 2: Convert to fraction form
    7,120.74/10,687.74 = 3,613.24/x
  3. Step 3: Cross multiply
    7,120.74x = 10,687.74 × 3,613.24
  4. Step 4: Simplify right side
    7,120.74x = 38,617,369.68
  5. Step 5: Solve for x
    x = 38,617,369.68/7,120.74
  6. Step 6: Final answer
    x = 5,423.22

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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.