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Finding the Fourth Proportional to 2,328, 3,214.56 and 2,036.64

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Solution

The fourth proportional to 2,328, 3,214.56 and 2,036.64 is: 2,812.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328 : 3,214.56 = 2,036.64 : x
  2. Step 2: Convert to fraction form
    2,328/3,214.56 = 2,036.64/x
  3. Step 3: Cross multiply
    2,328x = 3,214.56 × 2,036.64
  4. Step 4: Simplify right side
    2,328x = 6,546,901.48
  5. Step 5: Solve for x
    x = 6,546,901.48/2,328
  6. Step 6: Final answer
    x = 2,812.24

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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.