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Finding the Fourth Proportional to 9,144.53, 13,716.80 and 2,219.03

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Solution

The fourth proportional to 9,144.53, 13,716.80 and 2,219.03 is: 3,328.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.53 : 13,716.80 = 2,219.03 : x
  2. Step 2: Convert to fraction form
    9,144.53/13,716.80 = 2,219.03/x
  3. Step 3: Cross multiply
    9,144.53x = 13,716.80 × 2,219.03
  4. Step 4: Simplify right side
    9,144.53x = 30,437,990.70
  5. Step 5: Solve for x
    x = 30,437,990.70/9,144.53
  6. Step 6: Final answer
    x = 3,328.55

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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.