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Finding the Fourth Proportional to 2,889.66, 4,333.72 and 1,428.42

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Solution

The fourth proportional to 2,889.66, 4,333.72 and 1,428.42 is: 2,142.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.66 : 4,333.72 = 1,428.42 : x
  2. Step 2: Convert to fraction form
    2,889.66/4,333.72 = 1,428.42/x
  3. Step 3: Cross multiply
    2,889.66x = 4,333.72 × 1,428.42
  4. Step 4: Simplify right side
    2,889.66x = 6,190,372.32
  5. Step 5: Solve for x
    x = 6,190,372.32/2,889.66
  6. Step 6: Final answer
    x = 2,142.25

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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.