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Finding the Fourth Proportional to 1,981.86, 2,728.71 and 1,745.66

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Solution

The fourth proportional to 1,981.86, 2,728.71 and 1,745.66 is: 2,403.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.86 : 2,728.71 = 1,745.66 : x
  2. Step 2: Convert to fraction form
    1,981.86/2,728.71 = 1,745.66/x
  3. Step 3: Cross multiply
    1,981.86x = 2,728.71 × 1,745.66
  4. Step 4: Simplify right side
    1,981.86x = 4,763,386.26
  5. Step 5: Solve for x
    x = 4,763,386.26/1,981.86
  6. Step 6: Final answer
    x = 2,403.49

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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.