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Finding the Fourth Proportional to 1,894.49, 2,841.28 and 1,586.49

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Solution

The fourth proportional to 1,894.49, 2,841.28 and 1,586.49 is: 2,379.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.49 : 2,841.28 = 1,586.49 : x
  2. Step 2: Convert to fraction form
    1,894.49/2,841.28 = 1,586.49/x
  3. Step 3: Cross multiply
    1,894.49x = 2,841.28 × 1,586.49
  4. Step 4: Simplify right side
    1,894.49x = 4,507,647.69
  5. Step 5: Solve for x
    x = 4,507,647.69/1,894.49
  6. Step 6: Final answer
    x = 2,379.35

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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.