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Finding the Fourth Proportional to 2,858.51, 4,287.92 and 910.56

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Solution

The fourth proportional to 2,858.51, 4,287.92 and 910.56 is: 1,365.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.51 : 4,287.92 = 910.56 : x
  2. Step 2: Convert to fraction form
    2,858.51/4,287.92 = 910.56/x
  3. Step 3: Cross multiply
    2,858.51x = 4,287.92 × 910.56
  4. Step 4: Simplify right side
    2,858.51x = 3,904,408.44
  5. Step 5: Solve for x
    x = 3,904,408.44/2,858.51
  6. Step 6: Final answer
    x = 1,365.89

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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.