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Finding the Fourth Proportional to 7,889.90, 11,835.44 and 4,604.54

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Solution

The fourth proportional to 7,889.90, 11,835.44 and 4,604.54 is: 6,907.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,889.90 : 11,835.44 = 4,604.54 : x
  2. Step 2: Convert to fraction form
    7,889.90/11,835.44 = 4,604.54/x
  3. Step 3: Cross multiply
    7,889.90x = 11,835.44 × 4,604.54
  4. Step 4: Simplify right side
    7,889.90x = 54,496,674.70
  5. Step 5: Solve for x
    x = 54,496,674.70/7,889.90
  6. Step 6: Final answer
    x = 6,907.15

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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.