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Finding the Fourth Proportional to 7,213.35, 9,954.09 and 4,188

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Solution

The fourth proportional to 7,213.35, 9,954.09 and 4,188 is: 5,779.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.35 : 9,954.09 = 4,188 : x
  2. Step 2: Convert to fraction form
    7,213.35/9,954.09 = 4,188/x
  3. Step 3: Cross multiply
    7,213.35x = 9,954.09 × 4,188
  4. Step 4: Simplify right side
    7,213.35x = 41,687,728.92
  5. Step 5: Solve for x
    x = 41,687,728.92/7,213.35
  6. Step 6: Final answer
    x = 5,779.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.