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Finding the Fourth Proportional to 1,972.84, 2,734.03 and 1,945

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Solution

The fourth proportional to 1,972.84, 2,734.03 and 1,945 is: 2,695.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.84 : 2,734.03 = 1,945 : x
  2. Step 2: Convert to fraction form
    1,972.84/2,734.03 = 1,945/x
  3. Step 3: Cross multiply
    1,972.84x = 2,734.03 × 1,945
  4. Step 4: Simplify right side
    1,972.84x = 5,317,688.35
  5. Step 5: Solve for x
    x = 5,317,688.35/1,972.84
  6. Step 6: Final answer
    x = 2,695.45

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.