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Finding the Fourth Proportional to 2,886.71, 3,983.46 and 1,627.81

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Solution

The fourth proportional to 2,886.71, 3,983.46 and 1,627.81 is: 2,246.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.71 : 3,983.46 = 1,627.81 : x
  2. Step 2: Convert to fraction form
    2,886.71/3,983.46 = 1,627.81/x
  3. Step 3: Cross multiply
    2,886.71x = 3,983.46 × 1,627.81
  4. Step 4: Simplify right side
    2,886.71x = 6,484,316.02
  5. Step 5: Solve for x
    x = 6,484,316.02/2,886.71
  6. Step 6: Final answer
    x = 2,246.27

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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.