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Finding the Fourth Proportional to 2,806.97, 4,208.76 and 957.60

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Solution

The fourth proportional to 2,806.97, 4,208.76 and 957.60 is: 1,435.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.97 : 4,208.76 = 957.60 : x
  2. Step 2: Convert to fraction form
    2,806.97/4,208.76 = 957.60/x
  3. Step 3: Cross multiply
    2,806.97x = 4,208.76 × 957.60
  4. Step 4: Simplify right side
    2,806.97x = 4,030,308.58
  5. Step 5: Solve for x
    x = 4,030,308.58/2,806.97
  6. Step 6: Final answer
    x = 1,435.82

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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.