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Finding the Fourth Proportional to 2,491.84, 3,438.60 and 1,443.88

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Solution

The fourth proportional to 2,491.84, 3,438.60 and 1,443.88 is: 1,992.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.84 : 3,438.60 = 1,443.88 : x
  2. Step 2: Convert to fraction form
    2,491.84/3,438.60 = 1,443.88/x
  3. Step 3: Cross multiply
    2,491.84x = 3,438.60 × 1,443.88
  4. Step 4: Simplify right side
    2,491.84x = 4,964,925.77
  5. Step 5: Solve for x
    x = 4,964,925.77/2,491.84
  6. Step 6: Final answer
    x = 1,992.47

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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.