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Finding the Fourth Proportional to 1,994.34, 2,989.86 and 953.82

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Solution

The fourth proportional to 1,994.34, 2,989.86 and 953.82 is: 1,429.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.34 : 2,989.86 = 953.82 : x
  2. Step 2: Convert to fraction form
    1,994.34/2,989.86 = 953.82/x
  3. Step 3: Cross multiply
    1,994.34x = 2,989.86 × 953.82
  4. Step 4: Simplify right side
    1,994.34x = 2,851,788.27
  5. Step 5: Solve for x
    x = 2,851,788.27/1,994.34
  6. Step 6: Final answer
    x = 1,429.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.