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Finding the Fourth Proportional to 1,908.70, 2,867.06 and 1,846.40

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Solution

The fourth proportional to 1,908.70, 2,867.06 and 1,846.40 is: 2,773.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908.70 : 2,867.06 = 1,846.40 : x
  2. Step 2: Convert to fraction form
    1,908.70/2,867.06 = 1,846.40/x
  3. Step 3: Cross multiply
    1,908.70x = 2,867.06 × 1,846.40
  4. Step 4: Simplify right side
    1,908.70x = 5,293,729.86
  5. Step 5: Solve for x
    x = 5,293,729.86/1,908.70
  6. Step 6: Final answer
    x = 2,773.48

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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.