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Finding the Fourth Proportional to 4,838, 7,257.09 and 1,375.34

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Solution

The fourth proportional to 4,838, 7,257.09 and 1,375.34 is: 2,063.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838 : 7,257.09 = 1,375.34 : x
  2. Step 2: Convert to fraction form
    4,838/7,257.09 = 1,375.34/x
  3. Step 3: Cross multiply
    4,838x = 7,257.09 × 1,375.34
  4. Step 4: Simplify right side
    4,838x = 9,980,966.16
  5. Step 5: Solve for x
    x = 9,980,966.16/4,838
  6. Step 6: Final answer
    x = 2,063.04

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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.