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Finding the Fourth Proportional to 1,896, 2,841.32 and 1,427.16

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Solution

The fourth proportional to 1,896, 2,841.32 and 1,427.16 is: 2,138.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896 : 2,841.32 = 1,427.16 : x
  2. Step 2: Convert to fraction form
    1,896/2,841.32 = 1,427.16/x
  3. Step 3: Cross multiply
    1,896x = 2,841.32 × 1,427.16
  4. Step 4: Simplify right side
    1,896x = 4,055,011.12
  5. Step 5: Solve for x
    x = 4,055,011.12/1,896
  6. Step 6: Final answer
    x = 2,138.72

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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.