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Finding the Fourth Proportional to 2,965.71, 4,449.41 and 885.80

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Solution

The fourth proportional to 2,965.71, 4,449.41 and 885.80 is: 1,328.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.71 : 4,449.41 = 885.80 : x
  2. Step 2: Convert to fraction form
    2,965.71/4,449.41 = 885.80/x
  3. Step 3: Cross multiply
    2,965.71x = 4,449.41 × 885.80
  4. Step 4: Simplify right side
    2,965.71x = 3,941,260.70
  5. Step 5: Solve for x
    x = 3,941,260.70/2,965.71
  6. Step 6: Final answer
    x = 1,328.94

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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.