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Finding the Fourth Proportional to 2,194.61, 3,291.09 and 945.09

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Solution

The fourth proportional to 2,194.61, 3,291.09 and 945.09 is: 1,417.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.61 : 3,291.09 = 945.09 : x
  2. Step 2: Convert to fraction form
    2,194.61/3,291.09 = 945.09/x
  3. Step 3: Cross multiply
    2,194.61x = 3,291.09 × 945.09
  4. Step 4: Simplify right side
    2,194.61x = 3,110,376.25
  5. Step 5: Solve for x
    x = 3,110,376.25/2,194.61
  6. Step 6: Final answer
    x = 1,417.28

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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.