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Finding the Fourth Proportional to 4,907, 7,361.13 and 1,786.53

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Solution

The fourth proportional to 4,907, 7,361.13 and 1,786.53 is: 2,680.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,907 : 7,361.13 = 1,786.53 : x
  2. Step 2: Convert to fraction form
    4,907/7,361.13 = 1,786.53/x
  3. Step 3: Cross multiply
    4,907x = 7,361.13 × 1,786.53
  4. Step 4: Simplify right side
    4,907x = 13,150,842.77
  5. Step 5: Solve for x
    x = 13,150,842.77/4,907
  6. Step 6: Final answer
    x = 2,680.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.