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Finding the Fourth Proportional to 2,629.29, 3,944.02 and 985.53

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Solution

The fourth proportional to 2,629.29, 3,944.02 and 985.53 is: 1,478.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,629.29 : 3,944.02 = 985.53 : x
  2. Step 2: Convert to fraction form
    2,629.29/3,944.02 = 985.53/x
  3. Step 3: Cross multiply
    2,629.29x = 3,944.02 × 985.53
  4. Step 4: Simplify right side
    2,629.29x = 3,886,950.03
  5. Step 5: Solve for x
    x = 3,886,950.03/2,629.29
  6. Step 6: Final answer
    x = 1,478.33

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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.