Home / 2,704.24-4,053.72-971.92

Finding the Fourth Proportional to 2,704.24, 4,053.72 and 971.92

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Solution

The fourth proportional to 2,704.24, 4,053.72 and 971.92 is: 1,456.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.24 : 4,053.72 = 971.92 : x
  2. Step 2: Convert to fraction form
    2,704.24/4,053.72 = 971.92/x
  3. Step 3: Cross multiply
    2,704.24x = 4,053.72 × 971.92
  4. Step 4: Simplify right side
    2,704.24x = 3,939,891.54
  5. Step 5: Solve for x
    x = 3,939,891.54/2,704.24
  6. Step 6: Final answer
    x = 1,456.93

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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.