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Finding the Fourth Proportional to 1,831, 2,531.58 and 1,749.40

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Solution

The fourth proportional to 1,831, 2,531.58 and 1,749.40 is: 2,418.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831 : 2,531.58 = 1,749.40 : x
  2. Step 2: Convert to fraction form
    1,831/2,531.58 = 1,749.40/x
  3. Step 3: Cross multiply
    1,831x = 2,531.58 × 1,749.40
  4. Step 4: Simplify right side
    1,831x = 4,428,746.05
  5. Step 5: Solve for x
    x = 4,428,746.05/1,831
  6. Step 6: Final answer
    x = 2,418.76

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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.