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Finding the Fourth Proportional to 3,000.61, 4,490.15 and 1,830.90

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Solution

The fourth proportional to 3,000.61, 4,490.15 and 1,830.90 is: 2,739.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.61 : 4,490.15 = 1,830.90 : x
  2. Step 2: Convert to fraction form
    3,000.61/4,490.15 = 1,830.90/x
  3. Step 3: Cross multiply
    3,000.61x = 4,490.15 × 1,830.90
  4. Step 4: Simplify right side
    3,000.61x = 8,221,033.62
  5. Step 5: Solve for x
    x = 8,221,033.62/3,000.61
  6. Step 6: Final answer
    x = 2,739.79

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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.