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Finding the Fourth Proportional to 4,280.20, 5,977.70 and 4,280.20

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Solution

The fourth proportional to 4,280.20, 5,977.70 and 4,280.20 is: 5,977.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,280.20 : 5,977.70 = 4,280.20 : x
  2. Step 2: Convert to fraction form
    4,280.20/5,977.70 = 4,280.20/x
  3. Step 3: Cross multiply
    4,280.20x = 5,977.70 × 4,280.20
  4. Step 4: Simplify right side
    4,280.20x = 25,585,751.54
  5. Step 5: Solve for x
    x = 25,585,751.54/4,280.20
  6. Step 6: Final answer
    x = 5,977.70

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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.