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Finding the Fourth Proportional to 2,035.85, 3,054.04 and 865.64

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Solution

The fourth proportional to 2,035.85, 3,054.04 and 865.64 is: 1,298.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.85 : 3,054.04 = 865.64 : x
  2. Step 2: Convert to fraction form
    2,035.85/3,054.04 = 865.64/x
  3. Step 3: Cross multiply
    2,035.85x = 3,054.04 × 865.64
  4. Step 4: Simplify right side
    2,035.85x = 2,643,704.66
  5. Step 5: Solve for x
    x = 2,643,704.66/2,035.85
  6. Step 6: Final answer
    x = 1,298.58

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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.