Home / 1,431.83-2,144.10-943.40

Finding the Fourth Proportional to 1,431.83, 2,144.10 and 943.40

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Solution

The fourth proportional to 1,431.83, 2,144.10 and 943.40 is: 1,412.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.83 : 2,144.10 = 943.40 : x
  2. Step 2: Convert to fraction form
    1,431.83/2,144.10 = 943.40/x
  3. Step 3: Cross multiply
    1,431.83x = 2,144.10 × 943.40
  4. Step 4: Simplify right side
    1,431.83x = 2,022,745.28
  5. Step 5: Solve for x
    x = 2,022,745.28/1,431.83
  6. Step 6: Final answer
    x = 1,412.70

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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.