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Finding the Fourth Proportional to 5,085.12, 7,629.12 and 3,699.84

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Solution

The fourth proportional to 5,085.12, 7,629.12 and 3,699.84 is: 5,550.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,085.12 : 7,629.12 = 3,699.84 : x
  2. Step 2: Convert to fraction form
    5,085.12/7,629.12 = 3,699.84/x
  3. Step 3: Cross multiply
    5,085.12x = 7,629.12 × 3,699.84
  4. Step 4: Simplify right side
    5,085.12x = 28,226,523.34
  5. Step 5: Solve for x
    x = 28,226,523.34/5,085.12
  6. Step 6: Final answer
    x = 5,550.81

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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.