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Finding the Fourth Proportional to 9,384.94, 12,936.32 and 7,392.34

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Solution

The fourth proportional to 9,384.94, 12,936.32 and 7,392.34 is: 10,189.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.94 : 12,936.32 = 7,392.34 : x
  2. Step 2: Convert to fraction form
    9,384.94/12,936.32 = 7,392.34/x
  3. Step 3: Cross multiply
    9,384.94x = 12,936.32 × 7,392.34
  4. Step 4: Simplify right side
    9,384.94x = 95,629,611.11
  5. Step 5: Solve for x
    x = 95,629,611.11/9,384.94
  6. Step 6: Final answer
    x = 10,189.69

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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.