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Finding the Fourth Proportional to 2,189.14, 3,283.77 and 955.91

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Solution

The fourth proportional to 2,189.14, 3,283.77 and 955.91 is: 1,433.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.14 : 3,283.77 = 955.91 : x
  2. Step 2: Convert to fraction form
    2,189.14/3,283.77 = 955.91/x
  3. Step 3: Cross multiply
    2,189.14x = 3,283.77 × 955.91
  4. Step 4: Simplify right side
    2,189.14x = 3,138,988.58
  5. Step 5: Solve for x
    x = 3,138,988.58/2,189.14
  6. Step 6: Final answer
    x = 1,433.89

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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.