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Finding the Fourth Proportional to 1,994.56, 2,988.97 and 1,470.42

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Solution

The fourth proportional to 1,994.56, 2,988.97 and 1,470.42 is: 2,203.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.56 : 2,988.97 = 1,470.42 : x
  2. Step 2: Convert to fraction form
    1,994.56/2,988.97 = 1,470.42/x
  3. Step 3: Cross multiply
    1,994.56x = 2,988.97 × 1,470.42
  4. Step 4: Simplify right side
    1,994.56x = 4,395,037.59
  5. Step 5: Solve for x
    x = 4,395,037.59/1,994.56
  6. Step 6: Final answer
    x = 2,203.52

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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.