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Finding the Fourth Proportional to 1,855.55, 2,769.25 and 1,780.20

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Solution

The fourth proportional to 1,855.55, 2,769.25 and 1,780.20 is: 2,656.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.55 : 2,769.25 = 1,780.20 : x
  2. Step 2: Convert to fraction form
    1,855.55/2,769.25 = 1,780.20/x
  3. Step 3: Cross multiply
    1,855.55x = 2,769.25 × 1,780.20
  4. Step 4: Simplify right side
    1,855.55x = 4,929,818.85
  5. Step 5: Solve for x
    x = 4,929,818.85/1,855.55
  6. Step 6: Final answer
    x = 2,656.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.