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Finding the Fourth Proportional to 2,629.10, 3,943.65 and 985.70

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Solution

The fourth proportional to 2,629.10, 3,943.65 and 985.70 is: 1,478.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,629.10 : 3,943.65 = 985.70 : x
  2. Step 2: Convert to fraction form
    2,629.10/3,943.65 = 985.70/x
  3. Step 3: Cross multiply
    2,629.10x = 3,943.65 × 985.70
  4. Step 4: Simplify right side
    2,629.10x = 3,887,255.81
  5. Step 5: Solve for x
    x = 3,887,255.81/2,629.10
  6. Step 6: Final answer
    x = 1,478.55

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Similar ratio
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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.