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Finding the Fourth Proportional to 2,965.65, 4,449.08 and 885.57

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Solution

The fourth proportional to 2,965.65, 4,449.08 and 885.57 is: 1,328.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.65 : 4,449.08 = 885.57 : x
  2. Step 2: Convert to fraction form
    2,965.65/4,449.08 = 885.57/x
  3. Step 3: Cross multiply
    2,965.65x = 4,449.08 × 885.57
  4. Step 4: Simplify right side
    2,965.65x = 3,939,971.78
  5. Step 5: Solve for x
    x = 3,939,971.78/2,965.65
  6. Step 6: Final answer
    x = 1,328.54

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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.