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Finding the Fourth Proportional to 2,130.80, 3,190.80 and 2,033.60

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Solution

The fourth proportional to 2,130.80, 3,190.80 and 2,033.60 is: 3,045.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.80 : 3,190.80 = 2,033.60 : x
  2. Step 2: Convert to fraction form
    2,130.80/3,190.80 = 2,033.60/x
  3. Step 3: Cross multiply
    2,130.80x = 3,190.80 × 2,033.60
  4. Step 4: Simplify right side
    2,130.80x = 6,488,810.88
  5. Step 5: Solve for x
    x = 6,488,810.88/2,130.80
  6. Step 6: Final answer
    x = 3,045.25

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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.