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Finding the Fourth Proportional to 1,738.27, 2,398.74 and 992.47

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Solution

The fourth proportional to 1,738.27, 2,398.74 and 992.47 is: 1,369.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.27 : 2,398.74 = 992.47 : x
  2. Step 2: Convert to fraction form
    1,738.27/2,398.74 = 992.47/x
  3. Step 3: Cross multiply
    1,738.27x = 2,398.74 × 992.47
  4. Step 4: Simplify right side
    1,738.27x = 2,380,677.49
  5. Step 5: Solve for x
    x = 2,380,677.49/1,738.27
  6. Step 6: Final answer
    x = 1,369.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.