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Finding the Fourth Proportional to 2,806.23, 4,209.70 and 956.85

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Solution

The fourth proportional to 2,806.23, 4,209.70 and 956.85 is: 1,435.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.23 : 4,209.70 = 956.85 : x
  2. Step 2: Convert to fraction form
    2,806.23/4,209.70 = 956.85/x
  3. Step 3: Cross multiply
    2,806.23x = 4,209.70 × 956.85
  4. Step 4: Simplify right side
    2,806.23x = 4,028,030.40
  5. Step 5: Solve for x
    x = 4,028,030.40/2,806.23
  6. Step 6: Final answer
    x = 1,435.39

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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.