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Finding the Fourth Proportional to 3,047.72, 4,203.36 and 1,868

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Solution

The fourth proportional to 3,047.72, 4,203.36 and 1,868 is: 2,576.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.72 : 4,203.36 = 1,868 : x
  2. Step 2: Convert to fraction form
    3,047.72/4,203.36 = 1,868/x
  3. Step 3: Cross multiply
    3,047.72x = 4,203.36 × 1,868
  4. Step 4: Simplify right side
    3,047.72x = 7,851,876.48
  5. Step 5: Solve for x
    x = 7,851,876.48/3,047.72
  6. Step 6: Final answer
    x = 2,576.31

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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.