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Finding the Fourth Proportional to 2,704.98, 4,059.42 and 1,780.20

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Solution

The fourth proportional to 2,704.98, 4,059.42 and 1,780.20 is: 2,671.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.98 : 4,059.42 = 1,780.20 : x
  2. Step 2: Convert to fraction form
    2,704.98/4,059.42 = 1,780.20/x
  3. Step 3: Cross multiply
    2,704.98x = 4,059.42 × 1,780.20
  4. Step 4: Simplify right side
    2,704.98x = 7,226,579.48
  5. Step 5: Solve for x
    x = 7,226,579.48/2,704.98
  6. Step 6: Final answer
    x = 2,671.58

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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.