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Finding the Fourth Proportional to 2,629.53, 3,943.22 and 985.23

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Solution

The fourth proportional to 2,629.53, 3,943.22 and 985.23 is: 1,477.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,629.53 : 3,943.22 = 985.23 : x
  2. Step 2: Convert to fraction form
    2,629.53/3,943.22 = 985.23/x
  3. Step 3: Cross multiply
    2,629.53x = 3,943.22 × 985.23
  4. Step 4: Simplify right side
    2,629.53x = 3,884,973.71
  5. Step 5: Solve for x
    x = 3,884,973.71/2,629.53
  6. Step 6: Final answer
    x = 1,477.44

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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.