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Finding the Fourth Proportional to 5,494, 8,242.05 and 2,207.35

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Solution

The fourth proportional to 5,494, 8,242.05 and 2,207.35 is: 3,311.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494 : 8,242.05 = 2,207.35 : x
  2. Step 2: Convert to fraction form
    5,494/8,242.05 = 2,207.35/x
  3. Step 3: Cross multiply
    5,494x = 8,242.05 × 2,207.35
  4. Step 4: Simplify right side
    5,494x = 18,193,089.07
  5. Step 5: Solve for x
    x = 18,193,089.07/5,494
  6. Step 6: Final answer
    x = 3,311.45

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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.