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Finding the Fourth Proportional to 5,318.22, 7,977.10 and 1,808.09

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Solution

The fourth proportional to 5,318.22, 7,977.10 and 1,808.09 is: 2,712.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,318.22 : 7,977.10 = 1,808.09 : x
  2. Step 2: Convert to fraction form
    5,318.22/7,977.10 = 1,808.09/x
  3. Step 3: Cross multiply
    5,318.22x = 7,977.10 × 1,808.09
  4. Step 4: Simplify right side
    5,318.22x = 14,423,314.74
  5. Step 5: Solve for x
    x = 14,423,314.74/5,318.22
  6. Step 6: Final answer
    x = 2,712.06

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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.