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Finding the Fourth Proportional to 2,286.94, 3,430.33 and 969.85

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Solution

The fourth proportional to 2,286.94, 3,430.33 and 969.85 is: 1,454.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.94 : 3,430.33 = 969.85 : x
  2. Step 2: Convert to fraction form
    2,286.94/3,430.33 = 969.85/x
  3. Step 3: Cross multiply
    2,286.94x = 3,430.33 × 969.85
  4. Step 4: Simplify right side
    2,286.94x = 3,326,888.40
  5. Step 5: Solve for x
    x = 3,326,888.40/2,286.94
  6. Step 6: Final answer
    x = 1,454.74

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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.