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Finding the Fourth Proportional to 11,772.72, 16,245.72 and 6,737.40

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Solution

The fourth proportional to 11,772.72, 16,245.72 and 6,737.40 is: 9,297.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772.72 : 16,245.72 = 6,737.40 : x
  2. Step 2: Convert to fraction form
    11,772.72/16,245.72 = 6,737.40/x
  3. Step 3: Cross multiply
    11,772.72x = 16,245.72 × 6,737.40
  4. Step 4: Simplify right side
    11,772.72x = 109,453,913.93
  5. Step 5: Solve for x
    x = 109,453,913.93/11,772.72
  6. Step 6: Final answer
    x = 9,297.25

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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.