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Finding the Fourth Proportional to 2,077.88, 3,120.06 and 1,985.54

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Solution

The fourth proportional to 2,077.88, 3,120.06 and 1,985.54 is: 2,981.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.88 : 3,120.06 = 1,985.54 : x
  2. Step 2: Convert to fraction form
    2,077.88/3,120.06 = 1,985.54/x
  3. Step 3: Cross multiply
    2,077.88x = 3,120.06 × 1,985.54
  4. Step 4: Simplify right side
    2,077.88x = 6,195,003.93
  5. Step 5: Solve for x
    x = 6,195,003.93/2,077.88
  6. Step 6: Final answer
    x = 2,981.41

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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.