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Finding the Fourth Proportional to 3,220.04, 4,829.52 and 911

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Solution

The fourth proportional to 3,220.04, 4,829.52 and 911 is: 1,366.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220.04 : 4,829.52 = 911 : x
  2. Step 2: Convert to fraction form
    3,220.04/4,829.52 = 911/x
  3. Step 3: Cross multiply
    3,220.04x = 4,829.52 × 911
  4. Step 4: Simplify right side
    3,220.04x = 4,399,692.72
  5. Step 5: Solve for x
    x = 4,399,692.72/3,220.04
  6. Step 6: Final answer
    x = 1,366.35

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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.