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Finding the Fourth Proportional to 2,857.41, 3,943.38 and 1,738.17

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Solution

The fourth proportional to 2,857.41, 3,943.38 and 1,738.17 is: 2,398.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.41 : 3,943.38 = 1,738.17 : x
  2. Step 2: Convert to fraction form
    2,857.41/3,943.38 = 1,738.17/x
  3. Step 3: Cross multiply
    2,857.41x = 3,943.38 × 1,738.17
  4. Step 4: Simplify right side
    2,857.41x = 6,854,264.81
  5. Step 5: Solve for x
    x = 6,854,264.81/2,857.41
  6. Step 6: Final answer
    x = 2,398.77

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Double scale
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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.