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Finding the Fourth Proportional to 2,069.89, 3,104.77 and 509.88

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Solution

The fourth proportional to 2,069.89, 3,104.77 and 509.88 is: 764.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.89 : 3,104.77 = 509.88 : x
  2. Step 2: Convert to fraction form
    2,069.89/3,104.77 = 509.88/x
  3. Step 3: Cross multiply
    2,069.89x = 3,104.77 × 509.88
  4. Step 4: Simplify right side
    2,069.89x = 1,583,060.13
  5. Step 5: Solve for x
    x = 1,583,060.13/2,069.89
  6. Step 6: Final answer
    x = 764.80

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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.