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Finding the Fourth Proportional to 3,014.80, 4,522.20 and 823.45

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Solution

The fourth proportional to 3,014.80, 4,522.20 and 823.45 is: 1,235.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.80 : 4,522.20 = 823.45 : x
  2. Step 2: Convert to fraction form
    3,014.80/4,522.20 = 823.45/x
  3. Step 3: Cross multiply
    3,014.80x = 4,522.20 × 823.45
  4. Step 4: Simplify right side
    3,014.80x = 3,723,805.59
  5. Step 5: Solve for x
    x = 3,723,805.59/3,014.80
  6. Step 6: Final answer
    x = 1,235.18

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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.