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Finding the Fourth Proportional to 1,858.28, 2,768.73 and 1,831.56

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Solution

The fourth proportional to 1,858.28, 2,768.73 and 1,831.56 is: 2,728.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.28 : 2,768.73 = 1,831.56 : x
  2. Step 2: Convert to fraction form
    1,858.28/2,768.73 = 1,831.56/x
  3. Step 3: Cross multiply
    1,858.28x = 2,768.73 × 1,831.56
  4. Step 4: Simplify right side
    1,858.28x = 5,071,095.12
  5. Step 5: Solve for x
    x = 5,071,095.12/1,858.28
  6. Step 6: Final answer
    x = 2,728.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.