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Finding the Fourth Proportional to 1,894.41, 2,836.31 and 1,430.73

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Solution

The fourth proportional to 1,894.41, 2,836.31 and 1,430.73 is: 2,142.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.41 : 2,836.31 = 1,430.73 : x
  2. Step 2: Convert to fraction form
    1,894.41/2,836.31 = 1,430.73/x
  3. Step 3: Cross multiply
    1,894.41x = 2,836.31 × 1,430.73
  4. Step 4: Simplify right side
    1,894.41x = 4,057,986.65
  5. Step 5: Solve for x
    x = 4,057,986.65/1,894.41
  6. Step 6: Final answer
    x = 2,142.08

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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.