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Finding the Fourth Proportional to 1,985.93, 2,974.86 and 1,290.49

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Solution

The fourth proportional to 1,985.93, 2,974.86 and 1,290.49 is: 1,933.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.93 : 2,974.86 = 1,290.49 : x
  2. Step 2: Convert to fraction form
    1,985.93/2,974.86 = 1,290.49/x
  3. Step 3: Cross multiply
    1,985.93x = 2,974.86 × 1,290.49
  4. Step 4: Simplify right side
    1,985.93x = 3,839,027.08
  5. Step 5: Solve for x
    x = 3,839,027.08/1,985.93
  6. Step 6: Final answer
    x = 1,933.11

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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.