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Finding the Fourth Proportional to 2,805.94, 4,202.88 and 2,276.47

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Solution

The fourth proportional to 2,805.94, 4,202.88 and 2,276.47 is: 3,409.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.94 : 4,202.88 = 2,276.47 : x
  2. Step 2: Convert to fraction form
    2,805.94/4,202.88 = 2,276.47/x
  3. Step 3: Cross multiply
    2,805.94x = 4,202.88 × 2,276.47
  4. Step 4: Simplify right side
    2,805.94x = 9,567,730.23
  5. Step 5: Solve for x
    x = 9,567,730.23/2,805.94
  6. Step 6: Final answer
    x = 3,409.81

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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.