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Finding the Fourth Proportional to 9,219, 12,727.46 and 6,084.30

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Solution

The fourth proportional to 9,219, 12,727.46 and 6,084.30 is: 8,399.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,219 : 12,727.46 = 6,084.30 : x
  2. Step 2: Convert to fraction form
    9,219/12,727.46 = 6,084.30/x
  3. Step 3: Cross multiply
    9,219x = 12,727.46 × 6,084.30
  4. Step 4: Simplify right side
    9,219x = 77,437,684.88
  5. Step 5: Solve for x
    x = 77,437,684.88/9,219
  6. Step 6: Final answer
    x = 8,399.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.