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Finding the Fourth Proportional to 2,805.41, 4,209.03 and 957.70

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Solution

The fourth proportional to 2,805.41, 4,209.03 and 957.70 is: 1,436.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.41 : 4,209.03 = 957.70 : x
  2. Step 2: Convert to fraction form
    2,805.41/4,209.03 = 957.70/x
  3. Step 3: Cross multiply
    2,805.41x = 4,209.03 × 957.70
  4. Step 4: Simplify right side
    2,805.41x = 4,030,993.29
  5. Step 5: Solve for x
    x = 4,030,993.29/2,805.41
  6. Step 6: Final answer
    x = 1,436.86

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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.