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Finding the Fourth Proportional to 2,280.20, 3,185.80 and 2,280.20

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Solution

The fourth proportional to 2,280.20, 3,185.80 and 2,280.20 is: 3,185.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.20 : 3,185.80 = 2,280.20 : x
  2. Step 2: Convert to fraction form
    2,280.20/3,185.80 = 2,280.20/x
  3. Step 3: Cross multiply
    2,280.20x = 3,185.80 × 2,280.20
  4. Step 4: Simplify right side
    2,280.20x = 7,264,261.16
  5. Step 5: Solve for x
    x = 7,264,261.16/2,280.20
  6. Step 6: Final answer
    x = 3,185.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.