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Finding the Fourth Proportional to 4,240, 6,361.28 and 1,504.64

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Solution

The fourth proportional to 4,240, 6,361.28 and 1,504.64 is: 2,257.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,240 : 6,361.28 = 1,504.64 : x
  2. Step 2: Convert to fraction form
    4,240/6,361.28 = 1,504.64/x
  3. Step 3: Cross multiply
    4,240x = 6,361.28 × 1,504.64
  4. Step 4: Simplify right side
    4,240x = 9,571,436.34
  5. Step 5: Solve for x
    x = 9,571,436.34/4,240
  6. Step 6: Final answer
    x = 2,257.41

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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.