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Finding the Fourth Proportional to 9,323.62, 12,855.93 and 6,961.78

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Solution

The fourth proportional to 9,323.62, 12,855.93 and 6,961.78 is: 9,599.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,323.62 : 12,855.93 = 6,961.78 : x
  2. Step 2: Convert to fraction form
    9,323.62/12,855.93 = 6,961.78/x
  3. Step 3: Cross multiply
    9,323.62x = 12,855.93 × 6,961.78
  4. Step 4: Simplify right side
    9,323.62x = 89,500,156.36
  5. Step 5: Solve for x
    x = 89,500,156.36/9,323.62
  6. Step 6: Final answer
    x = 9,599.29

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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.