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Finding the Fourth Proportional to 7,103.85, 10,658.84 and 3,813.10

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Solution

The fourth proportional to 7,103.85, 10,658.84 and 3,813.10 is: 5,721.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,103.85 : 10,658.84 = 3,813.10 : x
  2. Step 2: Convert to fraction form
    7,103.85/10,658.84 = 3,813.10/x
  3. Step 3: Cross multiply
    7,103.85x = 10,658.84 × 3,813.10
  4. Step 4: Simplify right side
    7,103.85x = 40,643,205.69
  5. Step 5: Solve for x
    x = 40,643,205.69/7,103.85
  6. Step 6: Final answer
    x = 5,721.30

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1.5x scale

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.