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Finding the Fourth Proportional to 3,505, 5,257.53 and 907.78

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Solution

The fourth proportional to 3,505, 5,257.53 and 907.78 is: 1,361.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505 : 5,257.53 = 907.78 : x
  2. Step 2: Convert to fraction form
    3,505/5,257.53 = 907.78/x
  3. Step 3: Cross multiply
    3,505x = 5,257.53 × 907.78
  4. Step 4: Simplify right side
    3,505x = 4,772,680.58
  5. Step 5: Solve for x
    x = 4,772,680.58/3,505
  6. Step 6: Final answer
    x = 1,361.68

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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.