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Finding the Fourth Proportional to 7,103.75, 10,658.70 and 3,813.00

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Solution

The fourth proportional to 7,103.75, 10,658.70 and 3,813.00 is: 5,721.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,103.75 : 10,658.70 = 3,813.00 : x
  2. Step 2: Convert to fraction form
    7,103.75/10,658.70 = 3,813.00/x
  3. Step 3: Cross multiply
    7,103.75x = 10,658.70 × 3,813.00
  4. Step 4: Simplify right side
    7,103.75x = 40,641,659.28
  5. Step 5: Solve for x
    x = 40,641,659.28/7,103.75
  6. Step 6: Final answer
    x = 5,721.15

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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.