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Finding the Fourth Proportional to 2,102.05, 3,153.08 and 1,981.77

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Solution

The fourth proportional to 2,102.05, 3,153.08 and 1,981.77 is: 2,972.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.05 : 3,153.08 = 1,981.77 : x
  2. Step 2: Convert to fraction form
    2,102.05/3,153.08 = 1,981.77/x
  3. Step 3: Cross multiply
    2,102.05x = 3,153.08 × 1,981.77
  4. Step 4: Simplify right side
    2,102.05x = 6,248,661.33
  5. Step 5: Solve for x
    x = 6,248,661.33/2,102.05
  6. Step 6: Final answer
    x = 2,972.65

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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.