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Finding the Fourth Proportional to 5,318.98, 7,976.04 and 1,855.42

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Solution

The fourth proportional to 5,318.98, 7,976.04 and 1,855.42 is: 2,782.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,318.98 : 7,976.04 = 1,855.42 : x
  2. Step 2: Convert to fraction form
    5,318.98/7,976.04 = 1,855.42/x
  3. Step 3: Cross multiply
    5,318.98x = 7,976.04 × 1,855.42
  4. Step 4: Simplify right side
    5,318.98x = 14,798,904.14
  5. Step 5: Solve for x
    x = 14,798,904.14/5,318.98
  6. Step 6: Final answer
    x = 2,782.28

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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.