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Finding the Fourth Proportional to 2,328, 3,211.20 and 1,863.36

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Solution

The fourth proportional to 2,328, 3,211.20 and 1,863.36 is: 2,570.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328 : 3,211.20 = 1,863.36 : x
  2. Step 2: Convert to fraction form
    2,328/3,211.20 = 1,863.36/x
  3. Step 3: Cross multiply
    2,328x = 3,211.20 × 1,863.36
  4. Step 4: Simplify right side
    2,328x = 5,983,621.63
  5. Step 5: Solve for x
    x = 5,983,621.63/2,328
  6. Step 6: Final answer
    x = 2,570.28

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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.