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Finding the Fourth Proportional to 2,761.58, 4,143.99 and 1,980.74

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Solution

The fourth proportional to 2,761.58, 4,143.99 and 1,980.74 is: 2,972.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.58 : 4,143.99 = 1,980.74 : x
  2. Step 2: Convert to fraction form
    2,761.58/4,143.99 = 1,980.74/x
  3. Step 3: Cross multiply
    2,761.58x = 4,143.99 × 1,980.74
  4. Step 4: Simplify right side
    2,761.58x = 8,208,166.75
  5. Step 5: Solve for x
    x = 8,208,166.75/2,761.58
  6. Step 6: Final answer
    x = 2,972.27

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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.