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Finding the Fourth Proportional to 3,095.71, 4,644.75 and 1,864

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Solution

The fourth proportional to 3,095.71, 4,644.75 and 1,864 is: 2,796.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,095.71 : 4,644.75 = 1,864 : x
  2. Step 2: Convert to fraction form
    3,095.71/4,644.75 = 1,864/x
  3. Step 3: Cross multiply
    3,095.71x = 4,644.75 × 1,864
  4. Step 4: Simplify right side
    3,095.71x = 8,657,814
  5. Step 5: Solve for x
    x = 8,657,814/3,095.71
  6. Step 6: Final answer
    x = 2,796.71

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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.