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Finding the Fourth Proportional to 6,672, 9,207.36 and 3,728

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Solution

The fourth proportional to 6,672, 9,207.36 and 3,728 is: 5,144.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,672 : 9,207.36 = 3,728 : x
  2. Step 2: Convert to fraction form
    6,672/9,207.36 = 3,728/x
  3. Step 3: Cross multiply
    6,672x = 9,207.36 × 3,728
  4. Step 4: Simplify right side
    6,672x = 34,325,038.08
  5. Step 5: Solve for x
    x = 34,325,038.08/6,672
  6. Step 6: Final answer
    x = 5,144.64

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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.