Home / 2,821.46-4,231.32-971.51

Finding the Fourth Proportional to 2,821.46, 4,231.32 and 971.51

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Solution

The fourth proportional to 2,821.46, 4,231.32 and 971.51 is: 1,456.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.46 : 4,231.32 = 971.51 : x
  2. Step 2: Convert to fraction form
    2,821.46/4,231.32 = 971.51/x
  3. Step 3: Cross multiply
    2,821.46x = 4,231.32 × 971.51
  4. Step 4: Simplify right side
    2,821.46x = 4,110,748.54
  5. Step 5: Solve for x
    x = 4,110,748.54/2,821.46
  6. Step 6: Final answer
    x = 1,456.96

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1.5x scale

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.