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Finding the Fourth Proportional to 2,804.51, 4,206.53 and 724.59

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Solution

The fourth proportional to 2,804.51, 4,206.53 and 724.59 is: 1,086.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.51 : 4,206.53 = 724.59 : x
  2. Step 2: Convert to fraction form
    2,804.51/4,206.53 = 724.59/x
  3. Step 3: Cross multiply
    2,804.51x = 4,206.53 × 724.59
  4. Step 4: Simplify right side
    2,804.51x = 3,048,009.57
  5. Step 5: Solve for x
    x = 3,048,009.57/2,804.51
  6. Step 6: Final answer
    x = 1,086.82

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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.