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Finding the Fourth Proportional to 2,153.94, 2,974.44 and 1,399.02

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Solution

The fourth proportional to 2,153.94, 2,974.44 and 1,399.02 is: 1,931.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.94 : 2,974.44 = 1,399.02 : x
  2. Step 2: Convert to fraction form
    2,153.94/2,974.44 = 1,399.02/x
  3. Step 3: Cross multiply
    2,153.94x = 2,974.44 × 1,399.02
  4. Step 4: Simplify right side
    2,153.94x = 4,161,301.05
  5. Step 5: Solve for x
    x = 4,161,301.05/2,153.94
  6. Step 6: Final answer
    x = 1,931.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.