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Finding the Fourth Proportional to 7,830, 11,745.55 and 3,150.03

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Solution

The fourth proportional to 7,830, 11,745.55 and 3,150.03 is: 4,725.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830 : 11,745.55 = 3,150.03 : x
  2. Step 2: Convert to fraction form
    7,830/11,745.55 = 3,150.03/x
  3. Step 3: Cross multiply
    7,830x = 11,745.55 × 3,150.03
  4. Step 4: Simplify right side
    7,830x = 36,998,834.87
  5. Step 5: Solve for x
    x = 36,998,834.87/7,830
  6. Step 6: Final answer
    x = 4,725.27

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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.