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Finding the Fourth Proportional to 2,000.80, 3,002.10 and 904.60

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Solution

The fourth proportional to 2,000.80, 3,002.10 and 904.60 is: 1,357.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.80 : 3,002.10 = 904.60 : x
  2. Step 2: Convert to fraction form
    2,000.80/3,002.10 = 904.60/x
  3. Step 3: Cross multiply
    2,000.80x = 3,002.10 × 904.60
  4. Step 4: Simplify right side
    2,000.80x = 2,715,699.66
  5. Step 5: Solve for x
    x = 2,715,699.66/2,000.80
  6. Step 6: Final answer
    x = 1,357.31

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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.