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Finding the Fourth Proportional to 1,894.89, 2,615.16 and 1,149.09

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Solution

The fourth proportional to 1,894.89, 2,615.16 and 1,149.09 is: 1,585.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.89 : 2,615.16 = 1,149.09 : x
  2. Step 2: Convert to fraction form
    1,894.89/2,615.16 = 1,149.09/x
  3. Step 3: Cross multiply
    1,894.89x = 2,615.16 × 1,149.09
  4. Step 4: Simplify right side
    1,894.89x = 3,005,054.20
  5. Step 5: Solve for x
    x = 3,005,054.20/1,894.89
  6. Step 6: Final answer
    x = 1,585.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.