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Finding the Fourth Proportional to 1,994.14, 2,990.94 and 954.10

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Solution

The fourth proportional to 1,994.14, 2,990.94 and 954.10 is: 1,431.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.14 : 2,990.94 = 954.10 : x
  2. Step 2: Convert to fraction form
    1,994.14/2,990.94 = 954.10/x
  3. Step 3: Cross multiply
    1,994.14x = 2,990.94 × 954.10
  4. Step 4: Simplify right side
    1,994.14x = 2,853,655.85
  5. Step 5: Solve for x
    x = 2,853,655.85/1,994.14
  6. Step 6: Final answer
    x = 1,431.02

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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.