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Finding the Fourth Proportional to 2,004.94, 2,767.80 and 1,555.80

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Solution

The fourth proportional to 2,004.94, 2,767.80 and 1,555.80 is: 2,147.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.94 : 2,767.80 = 1,555.80 : x
  2. Step 2: Convert to fraction form
    2,004.94/2,767.80 = 1,555.80/x
  3. Step 3: Cross multiply
    2,004.94x = 2,767.80 × 1,555.80
  4. Step 4: Simplify right side
    2,004.94x = 4,306,143.24
  5. Step 5: Solve for x
    x = 4,306,143.24/2,004.94
  6. Step 6: Final answer
    x = 2,147.77

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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.