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Finding the Fourth Proportional to 4,907, 7,360.50 and 2,171

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Solution

The fourth proportional to 4,907, 7,360.50 and 2,171 is: 3,256.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,907 : 7,360.50 = 2,171 : x
  2. Step 2: Convert to fraction form
    4,907/7,360.50 = 2,171/x
  3. Step 3: Cross multiply
    4,907x = 7,360.50 × 2,171
  4. Step 4: Simplify right side
    4,907x = 15,979,645.50
  5. Step 5: Solve for x
    x = 15,979,645.50/4,907
  6. Step 6: Final answer
    x = 3,256.50

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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.