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Finding the Fourth Proportional to 1,994.87, 2,992.28 and 898.94

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Solution

The fourth proportional to 1,994.87, 2,992.28 and 898.94 is: 1,348.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.87 : 2,992.28 = 898.94 : x
  2. Step 2: Convert to fraction form
    1,994.87/2,992.28 = 898.94/x
  3. Step 3: Cross multiply
    1,994.87x = 2,992.28 × 898.94
  4. Step 4: Simplify right side
    1,994.87x = 2,689,860.73
  5. Step 5: Solve for x
    x = 2,689,860.73/1,994.87
  6. Step 6: Final answer
    x = 1,348.39

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1.5x scale

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.