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Finding the Fourth Proportional to 2,894.68, 3,996.40 and 2,194.84

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Solution

The fourth proportional to 2,894.68, 3,996.40 and 2,194.84 is: 3,030.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.68 : 3,996.40 = 2,194.84 : x
  2. Step 2: Convert to fraction form
    2,894.68/3,996.40 = 2,194.84/x
  3. Step 3: Cross multiply
    2,894.68x = 3,996.40 × 2,194.84
  4. Step 4: Simplify right side
    2,894.68x = 8,771,458.58
  5. Step 5: Solve for x
    x = 8,771,458.58/2,894.68
  6. Step 6: Final answer
    x = 3,030.20

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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.