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Finding the Fourth Proportional to 9,219.68, 13,817.16 and 8,629.19

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Solution

The fourth proportional to 9,219.68, 13,817.16 and 8,629.19 is: 12,932.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,219.68 : 13,817.16 = 8,629.19 : x
  2. Step 2: Convert to fraction form
    9,219.68/13,817.16 = 8,629.19/x
  3. Step 3: Cross multiply
    9,219.68x = 13,817.16 × 8,629.19
  4. Step 4: Simplify right side
    9,219.68x = 119,230,797.46
  5. Step 5: Solve for x
    x = 119,230,797.46/9,219.68
  6. Step 6: Final answer
    x = 12,932.21

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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.