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Finding the Fourth Proportional to 12,505, 18,757.50 and 4,297

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Solution

The fourth proportional to 12,505, 18,757.50 and 4,297 is: 6,445.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,505 : 18,757.50 = 4,297 : x
  2. Step 2: Convert to fraction form
    12,505/18,757.50 = 4,297/x
  3. Step 3: Cross multiply
    12,505x = 18,757.50 × 4,297
  4. Step 4: Simplify right side
    12,505x = 80,600,977.50
  5. Step 5: Solve for x
    x = 80,600,977.50/12,505
  6. Step 6: Final answer
    x = 6,445.50

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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.