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Finding the Fourth Proportional to 4,739.96, 7,109.90 and 1,620.30

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Solution

The fourth proportional to 4,739.96, 7,109.90 and 1,620.30 is: 2,430.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,739.96 : 7,109.90 = 1,620.30 : x
  2. Step 2: Convert to fraction form
    4,739.96/7,109.90 = 1,620.30/x
  3. Step 3: Cross multiply
    4,739.96x = 7,109.90 × 1,620.30
  4. Step 4: Simplify right side
    4,739.96x = 11,520,170.97
  5. Step 5: Solve for x
    x = 11,520,170.97/4,739.96
  6. Step 6: Final answer
    x = 2,430.44

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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.