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Finding the Fourth Proportional to 2,804.54, 4,206.50 and 724.56

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Solution

The fourth proportional to 2,804.54, 4,206.50 and 724.56 is: 1,086.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.54 : 4,206.50 = 724.56 : x
  2. Step 2: Convert to fraction form
    2,804.54/4,206.50 = 724.56/x
  3. Step 3: Cross multiply
    2,804.54x = 4,206.50 × 724.56
  4. Step 4: Simplify right side
    2,804.54x = 3,047,852.40
  5. Step 5: Solve for x
    x = 3,047,852.40/2,804.54
  6. Step 6: Final answer
    x = 1,086.76

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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.