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Finding the Fourth Proportional to 1,887.76, 2,831.64 and 1,844.56

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Solution

The fourth proportional to 1,887.76, 2,831.64 and 1,844.56 is: 2,766.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.76 : 2,831.64 = 1,844.56 : x
  2. Step 2: Convert to fraction form
    1,887.76/2,831.64 = 1,844.56/x
  3. Step 3: Cross multiply
    1,887.76x = 2,831.64 × 1,844.56
  4. Step 4: Simplify right side
    1,887.76x = 5,223,129.88
  5. Step 5: Solve for x
    x = 5,223,129.88/1,887.76
  6. Step 6: Final answer
    x = 2,766.84

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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.