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Finding the Fourth Proportional to 1,894.08, 2,842.04 and 1,428.59

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Solution

The fourth proportional to 1,894.08, 2,842.04 and 1,428.59 is: 2,143.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.08 : 2,842.04 = 1,428.59 : x
  2. Step 2: Convert to fraction form
    1,894.08/2,842.04 = 1,428.59/x
  3. Step 3: Cross multiply
    1,894.08x = 2,842.04 × 1,428.59
  4. Step 4: Simplify right side
    1,894.08x = 4,060,120.60
  5. Step 5: Solve for x
    x = 4,060,120.60/1,894.08
  6. Step 6: Final answer
    x = 2,143.58

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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.