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Finding the Fourth Proportional to 2,394.46, 3,589.51 and 855.10

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Solution

The fourth proportional to 2,394.46, 3,589.51 and 855.10 is: 1,281.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.46 : 3,589.51 = 855.10 : x
  2. Step 2: Convert to fraction form
    2,394.46/3,589.51 = 855.10/x
  3. Step 3: Cross multiply
    2,394.46x = 3,589.51 × 855.10
  4. Step 4: Simplify right side
    2,394.46x = 3,069,390.00
  5. Step 5: Solve for x
    x = 3,069,390.00/2,394.46
  6. Step 6: Final answer
    x = 1,281.87

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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.