Home / 1,469.06-2,205.62-974.01

Finding the Fourth Proportional to 1,469.06, 2,205.62 and 974.01

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Solution

The fourth proportional to 1,469.06, 2,205.62 and 974.01 is: 1,462.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.06 : 2,205.62 = 974.01 : x
  2. Step 2: Convert to fraction form
    1,469.06/2,205.62 = 974.01/x
  3. Step 3: Cross multiply
    1,469.06x = 2,205.62 × 974.01
  4. Step 4: Simplify right side
    1,469.06x = 2,148,295.94
  5. Step 5: Solve for x
    x = 2,148,295.94/1,469.06
  6. Step 6: Final answer
    x = 1,462.36

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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.