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Finding the Fourth Proportional to 2,193.54, 3,290.37 and 894.09

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Solution

The fourth proportional to 2,193.54, 3,290.37 and 894.09 is: 1,341.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.54 : 3,290.37 = 894.09 : x
  2. Step 2: Convert to fraction form
    2,193.54/3,290.37 = 894.09/x
  3. Step 3: Cross multiply
    2,193.54x = 3,290.37 × 894.09
  4. Step 4: Simplify right side
    2,193.54x = 2,941,886.91
  5. Step 5: Solve for x
    x = 2,941,886.91/2,193.54
  6. Step 6: Final answer
    x = 1,341.16

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1.5x scale

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.