Home / 1,847.04-2,768.64-821.76

Finding the Fourth Proportional to 1,847.04, 2,768.64 and 821.76

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Solution

The fourth proportional to 1,847.04, 2,768.64 and 821.76 is: 1,231.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.04 : 2,768.64 = 821.76 : x
  2. Step 2: Convert to fraction form
    1,847.04/2,768.64 = 821.76/x
  3. Step 3: Cross multiply
    1,847.04x = 2,768.64 × 821.76
  4. Step 4: Simplify right side
    1,847.04x = 2,275,157.61
  5. Step 5: Solve for x
    x = 2,275,157.61/1,847.04
  6. Step 6: Final answer
    x = 1,231.79

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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.