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Finding the Fourth Proportional to 1,983.34, 2,749.54 and 1,878

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Solution

The fourth proportional to 1,983.34, 2,749.54 and 1,878 is: 2,603.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.34 : 2,749.54 = 1,878 : x
  2. Step 2: Convert to fraction form
    1,983.34/2,749.54 = 1,878/x
  3. Step 3: Cross multiply
    1,983.34x = 2,749.54 × 1,878
  4. Step 4: Simplify right side
    1,983.34x = 5,163,636.12
  5. Step 5: Solve for x
    x = 5,163,636.12/1,983.34
  6. Step 6: Final answer
    x = 2,603.51

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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.