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Finding the Fourth Proportional to 3,784.98, 5,679.11 and 1,318.46

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Solution

The fourth proportional to 3,784.98, 5,679.11 and 1,318.46 is: 1,978.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.98 : 5,679.11 = 1,318.46 : x
  2. Step 2: Convert to fraction form
    3,784.98/5,679.11 = 1,318.46/x
  3. Step 3: Cross multiply
    3,784.98x = 5,679.11 × 1,318.46
  4. Step 4: Simplify right side
    3,784.98x = 7,487,644.38
  5. Step 5: Solve for x
    x = 7,487,644.38/3,784.98
  6. Step 6: Final answer
    x = 1,978.25

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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.