Home / 2,821.08-4,231.91-971.95

Finding the Fourth Proportional to 2,821.08, 4,231.91 and 971.95

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Solution

The fourth proportional to 2,821.08, 4,231.91 and 971.95 is: 1,458.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.08 : 4,231.91 = 971.95 : x
  2. Step 2: Convert to fraction form
    2,821.08/4,231.91 = 971.95/x
  3. Step 3: Cross multiply
    2,821.08x = 4,231.91 × 971.95
  4. Step 4: Simplify right side
    2,821.08x = 4,113,204.92
  5. Step 5: Solve for x
    x = 4,113,204.92/2,821.08
  6. Step 6: Final answer
    x = 1,458.02

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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.