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Finding the Fourth Proportional to 9,362.70, 12,912.75 and 6,378.66

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Solution

The fourth proportional to 9,362.70, 12,912.75 and 6,378.66 is: 8,797.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,362.70 : 12,912.75 = 6,378.66 : x
  2. Step 2: Convert to fraction form
    9,362.70/12,912.75 = 6,378.66/x
  3. Step 3: Cross multiply
    9,362.70x = 12,912.75 × 6,378.66
  4. Step 4: Simplify right side
    9,362.70x = 82,366,041.92
  5. Step 5: Solve for x
    x = 82,366,041.92/9,362.70
  6. Step 6: Final answer
    x = 8,797.25

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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.