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Finding the Fourth Proportional to 1,994.80, 2,986.72 and 1,506.40

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Solution

The fourth proportional to 1,994.80, 2,986.72 and 1,506.40 is: 2,255.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.80 : 2,986.72 = 1,506.40 : x
  2. Step 2: Convert to fraction form
    1,994.80/2,986.72 = 1,506.40/x
  3. Step 3: Cross multiply
    1,994.80x = 2,986.72 × 1,506.40
  4. Step 4: Simplify right side
    1,994.80x = 4,499,195.01
  5. Step 5: Solve for x
    x = 4,499,195.01/1,994.80
  6. Step 6: Final answer
    x = 2,255.46

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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.