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Finding the Fourth Proportional to 7,885.50, 11,828.25 and 7,404.36

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Solution

The fourth proportional to 7,885.50, 11,828.25 and 7,404.36 is: 11,106.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,885.50 : 11,828.25 = 7,404.36 : x
  2. Step 2: Convert to fraction form
    7,885.50/11,828.25 = 7,404.36/x
  3. Step 3: Cross multiply
    7,885.50x = 11,828.25 × 7,404.36
  4. Step 4: Simplify right side
    7,885.50x = 87,580,664.17
  5. Step 5: Solve for x
    x = 87,580,664.17/7,885.50
  6. Step 6: Final answer
    x = 11,106.54

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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.