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Finding the Fourth Proportional to 2,284.65, 3,426.44 and 985.41

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Solution

The fourth proportional to 2,284.65, 3,426.44 and 985.41 is: 1,477.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.65 : 3,426.44 = 985.41 : x
  2. Step 2: Convert to fraction form
    2,284.65/3,426.44 = 985.41/x
  3. Step 3: Cross multiply
    2,284.65x = 3,426.44 × 985.41
  4. Step 4: Simplify right side
    2,284.65x = 3,376,443.31
  5. Step 5: Solve for x
    x = 3,376,443.31/2,284.65
  6. Step 6: Final answer
    x = 1,477.88

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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.