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Finding the Fourth Proportional to 5,401, 8,101.50 and 1,297

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Solution

The fourth proportional to 5,401, 8,101.50 and 1,297 is: 1,945.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,401 : 8,101.50 = 1,297 : x
  2. Step 2: Convert to fraction form
    5,401/8,101.50 = 1,297/x
  3. Step 3: Cross multiply
    5,401x = 8,101.50 × 1,297
  4. Step 4: Simplify right side
    5,401x = 10,507,645.50
  5. Step 5: Solve for x
    x = 10,507,645.50/5,401
  6. Step 6: Final answer
    x = 1,945.50

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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.