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Finding the Fourth Proportional to 3,678.73, 5,519.01 and 1,830.73

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Solution

The fourth proportional to 3,678.73, 5,519.01 and 1,830.73 is: 2,746.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.73 : 5,519.01 = 1,830.73 : x
  2. Step 2: Convert to fraction form
    3,678.73/5,519.01 = 1,830.73/x
  3. Step 3: Cross multiply
    3,678.73x = 5,519.01 × 1,830.73
  4. Step 4: Simplify right side
    3,678.73x = 10,103,817.18
  5. Step 5: Solve for x
    x = 10,103,817.18/3,678.73
  6. Step 6: Final answer
    x = 2,746.55

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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.