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Finding the Fourth Proportional to 2,189.90, 3,284.07 and 956.96

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Solution

The fourth proportional to 2,189.90, 3,284.07 and 956.96 is: 1,435.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.90 : 3,284.07 = 956.96 : x
  2. Step 2: Convert to fraction form
    2,189.90/3,284.07 = 956.96/x
  3. Step 3: Cross multiply
    2,189.90x = 3,284.07 × 956.96
  4. Step 4: Simplify right side
    2,189.90x = 3,142,723.63
  5. Step 5: Solve for x
    x = 3,142,723.63/2,189.90
  6. Step 6: Final answer
    x = 1,435.10

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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.