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Finding the Fourth Proportional to 2,523.39, 3,784.79 and 674.66

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Solution

The fourth proportional to 2,523.39, 3,784.79 and 674.66 is: 1,011.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.39 : 3,784.79 = 674.66 : x
  2. Step 2: Convert to fraction form
    2,523.39/3,784.79 = 674.66/x
  3. Step 3: Cross multiply
    2,523.39x = 3,784.79 × 674.66
  4. Step 4: Simplify right side
    2,523.39x = 2,553,457.57
  5. Step 5: Solve for x
    x = 2,553,457.57/2,523.39
  6. Step 6: Final answer
    x = 1,011.92

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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.