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Finding the Fourth Proportional to 1,894.97, 2,615.19 and 1,148.96

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Solution

The fourth proportional to 1,894.97, 2,615.19 and 1,148.96 is: 1,585.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.97 : 2,615.19 = 1,148.96 : x
  2. Step 2: Convert to fraction form
    1,894.97/2,615.19 = 1,148.96/x
  3. Step 3: Cross multiply
    1,894.97x = 2,615.19 × 1,148.96
  4. Step 4: Simplify right side
    1,894.97x = 3,004,748.70
  5. Step 5: Solve for x
    x = 3,004,748.70/1,894.97
  6. Step 6: Final answer
    x = 1,585.64

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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.