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Finding the Fourth Proportional to 5,982, 8,974.45 and 1,878

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Solution

The fourth proportional to 5,982, 8,974.45 and 1,878 is: 2,817.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,982 : 8,974.45 = 1,878 : x
  2. Step 2: Convert to fraction form
    5,982/8,974.45 = 1,878/x
  3. Step 3: Cross multiply
    5,982x = 8,974.45 × 1,878
  4. Step 4: Simplify right side
    5,982x = 16,854,017.10
  5. Step 5: Solve for x
    x = 16,854,017.10/5,982
  6. Step 6: Final answer
    x = 2,817.46

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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.