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Finding the Fourth Proportional to 2,438, 3,364.96 and 1,443.68

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Solution

The fourth proportional to 2,438, 3,364.96 and 1,443.68 is: 1,992.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438 : 3,364.96 = 1,443.68 : x
  2. Step 2: Convert to fraction form
    2,438/3,364.96 = 1,443.68/x
  3. Step 3: Cross multiply
    2,438x = 3,364.96 × 1,443.68
  4. Step 4: Simplify right side
    2,438x = 4,857,925.45
  5. Step 5: Solve for x
    x = 4,857,925.45/2,438
  6. Step 6: Final answer
    x = 1,992.59

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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.