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Finding the Fourth Proportional to 4,907.56, 6,772.44 and 3,138.52

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Solution

The fourth proportional to 4,907.56, 6,772.44 and 3,138.52 is: 4,331.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,907.56 : 6,772.44 = 3,138.52 : x
  2. Step 2: Convert to fraction form
    4,907.56/6,772.44 = 3,138.52/x
  3. Step 3: Cross multiply
    4,907.56x = 6,772.44 × 3,138.52
  4. Step 4: Simplify right side
    4,907.56x = 21,255,438.39
  5. Step 5: Solve for x
    x = 21,255,438.39/4,907.56
  6. Step 6: Final answer
    x = 4,331.16

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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.