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Finding the Fourth Proportional to 4,201.99, 6,302.99 and 1,280.30

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Solution

The fourth proportional to 4,201.99, 6,302.99 and 1,280.30 is: 1,920.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201.99 : 6,302.99 = 1,280.30 : x
  2. Step 2: Convert to fraction form
    4,201.99/6,302.99 = 1,280.30/x
  3. Step 3: Cross multiply
    4,201.99x = 6,302.99 × 1,280.30
  4. Step 4: Simplify right side
    4,201.99x = 8,069,708.62
  5. Step 5: Solve for x
    x = 8,069,708.62/4,201.99
  6. Step 6: Final answer
    x = 1,920.45

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1.5x scale

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.