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Finding the Fourth Proportional to 3,509.50, 5,265.06 and 1,201

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Solution

The fourth proportional to 3,509.50, 5,265.06 and 1,201 is: 1,801.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.50 : 5,265.06 = 1,201 : x
  2. Step 2: Convert to fraction form
    3,509.50/5,265.06 = 1,201/x
  3. Step 3: Cross multiply
    3,509.50x = 5,265.06 × 1,201
  4. Step 4: Simplify right side
    3,509.50x = 6,323,337.06
  5. Step 5: Solve for x
    x = 6,323,337.06/3,509.50
  6. Step 6: Final answer
    x = 1,801.78

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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.