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Finding the Fourth Proportional to 3,515, 5,273.40 and 1,206.52

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Solution

The fourth proportional to 3,515, 5,273.40 and 1,206.52 is: 1,810.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,515 : 5,273.40 = 1,206.52 : x
  2. Step 2: Convert to fraction form
    3,515/5,273.40 = 1,206.52/x
  3. Step 3: Cross multiply
    3,515x = 5,273.40 × 1,206.52
  4. Step 4: Simplify right side
    3,515x = 6,362,462.57
  5. Step 5: Solve for x
    x = 6,362,462.57/3,515
  6. Step 6: Final answer
    x = 1,810.09

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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.