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Finding the Fourth Proportional to 2,739.80, 3,780.06 and 1,560.80

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Solution

The fourth proportional to 2,739.80, 3,780.06 and 1,560.80 is: 2,153.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.80 : 3,780.06 = 1,560.80 : x
  2. Step 2: Convert to fraction form
    2,739.80/3,780.06 = 1,560.80/x
  3. Step 3: Cross multiply
    2,739.80x = 3,780.06 × 1,560.80
  4. Step 4: Simplify right side
    2,739.80x = 5,899,917.65
  5. Step 5: Solve for x
    x = 5,899,917.65/2,739.80
  6. Step 6: Final answer
    x = 2,153.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.