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Finding the Fourth Proportional to 2,857.47, 3,943.80 and 1,678.61

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Solution

The fourth proportional to 2,857.47, 3,943.80 and 1,678.61 is: 2,316.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.47 : 3,943.80 = 1,678.61 : x
  2. Step 2: Convert to fraction form
    2,857.47/3,943.80 = 1,678.61/x
  3. Step 3: Cross multiply
    2,857.47x = 3,943.80 × 1,678.61
  4. Step 4: Simplify right side
    2,857.47x = 6,620,102.12
  5. Step 5: Solve for x
    x = 6,620,102.12/2,857.47
  6. Step 6: Final answer
    x = 2,316.77

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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.