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Finding the Fourth Proportional to 5,089.94, 7,633.88 and 2,980.30

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Solution

The fourth proportional to 5,089.94, 7,633.88 and 2,980.30 is: 4,469.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,089.94 : 7,633.88 = 2,980.30 : x
  2. Step 2: Convert to fraction form
    5,089.94/7,633.88 = 2,980.30/x
  3. Step 3: Cross multiply
    5,089.94x = 7,633.88 × 2,980.30
  4. Step 4: Simplify right side
    5,089.94x = 22,751,252.56
  5. Step 5: Solve for x
    x = 22,751,252.56/5,089.94
  6. Step 6: Final answer
    x = 4,469.85

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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.