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Finding the Fourth Proportional to 1,865.39, 2,794.43 and 1,430.42

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Solution

The fourth proportional to 1,865.39, 2,794.43 and 1,430.42 is: 2,142.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.39 : 2,794.43 = 1,430.42 : x
  2. Step 2: Convert to fraction form
    1,865.39/2,794.43 = 1,430.42/x
  3. Step 3: Cross multiply
    1,865.39x = 2,794.43 × 1,430.42
  4. Step 4: Simplify right side
    1,865.39x = 3,997,198.16
  5. Step 5: Solve for x
    x = 3,997,198.16/1,865.39
  6. Step 6: Final answer
    x = 2,142.83

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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.