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Finding the Fourth Proportional to 2,703.37, 4,055.51 and 854.05

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Solution

The fourth proportional to 2,703.37, 4,055.51 and 854.05 is: 1,281.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.37 : 4,055.51 = 854.05 : x
  2. Step 2: Convert to fraction form
    2,703.37/4,055.51 = 854.05/x
  3. Step 3: Cross multiply
    2,703.37x = 4,055.51 × 854.05
  4. Step 4: Simplify right side
    2,703.37x = 3,463,608.32
  5. Step 5: Solve for x
    x = 3,463,608.32/2,703.37
  6. Step 6: Final answer
    x = 1,281.22

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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.