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Finding the Fourth Proportional to 2,324, 3,207.12 and 1,392.68

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Solution

The fourth proportional to 2,324, 3,207.12 and 1,392.68 is: 1,921.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324 : 3,207.12 = 1,392.68 : x
  2. Step 2: Convert to fraction form
    2,324/3,207.12 = 1,392.68/x
  3. Step 3: Cross multiply
    2,324x = 3,207.12 × 1,392.68
  4. Step 4: Simplify right side
    2,324x = 4,466,491.88
  5. Step 5: Solve for x
    x = 4,466,491.88/2,324
  6. Step 6: Final answer
    x = 1,921.90

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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.