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Finding the Fourth Proportional to 2,894.35, 3,994.19 and 1,618.23

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Solution

The fourth proportional to 2,894.35, 3,994.19 and 1,618.23 is: 2,233.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.35 : 3,994.19 = 1,618.23 : x
  2. Step 2: Convert to fraction form
    2,894.35/3,994.19 = 1,618.23/x
  3. Step 3: Cross multiply
    2,894.35x = 3,994.19 × 1,618.23
  4. Step 4: Simplify right side
    2,894.35x = 6,463,518.08
  5. Step 5: Solve for x
    x = 6,463,518.08/2,894.35
  6. Step 6: Final answer
    x = 2,233.15

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1.5x scale

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.