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Finding the Fourth Proportional to 4,443.84, 6,665.01 and 1,811.22

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Solution

The fourth proportional to 4,443.84, 6,665.01 and 1,811.22 is: 2,716.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,443.84 : 6,665.01 = 1,811.22 : x
  2. Step 2: Convert to fraction form
    4,443.84/6,665.01 = 1,811.22/x
  3. Step 3: Cross multiply
    4,443.84x = 6,665.01 × 1,811.22
  4. Step 4: Simplify right side
    4,443.84x = 12,071,799.41
  5. Step 5: Solve for x
    x = 12,071,799.41/4,443.84
  6. Step 6: Final answer
    x = 2,716.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.