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Finding the Fourth Proportional to 2,703.65, 4,055.81 and 854.49

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Solution

The fourth proportional to 2,703.65, 4,055.81 and 854.49 is: 1,281.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.65 : 4,055.81 = 854.49 : x
  2. Step 2: Convert to fraction form
    2,703.65/4,055.81 = 854.49/x
  3. Step 3: Cross multiply
    2,703.65x = 4,055.81 × 854.49
  4. Step 4: Simplify right side
    2,703.65x = 3,465,651.22
  5. Step 5: Solve for x
    x = 3,465,651.22/2,703.65
  6. Step 6: Final answer
    x = 1,281.84

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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.