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Finding the Fourth Proportional to 3,813.55, 5,710.30 and 3,069.20

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Solution

The fourth proportional to 3,813.55, 5,710.30 and 3,069.20 is: 4,595.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.55 : 5,710.30 = 3,069.20 : x
  2. Step 2: Convert to fraction form
    3,813.55/5,710.30 = 3,069.20/x
  3. Step 3: Cross multiply
    3,813.55x = 5,710.30 × 3,069.20
  4. Step 4: Simplify right side
    3,813.55x = 17,526,052.76
  5. Step 5: Solve for x
    x = 17,526,052.76/3,813.55
  6. Step 6: Final answer
    x = 4,595.73

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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.