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Finding the Fourth Proportional to 4,684.78, 7,028.99 and 2,085.94

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Solution

The fourth proportional to 4,684.78, 7,028.99 and 2,085.94 is: 3,129.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.78 : 7,028.99 = 2,085.94 : x
  2. Step 2: Convert to fraction form
    4,684.78/7,028.99 = 2,085.94/x
  3. Step 3: Cross multiply
    4,684.78x = 7,028.99 × 2,085.94
  4. Step 4: Simplify right side
    4,684.78x = 14,662,051.40
  5. Step 5: Solve for x
    x = 14,662,051.40/4,684.78
  6. Step 6: Final answer
    x = 3,129.72

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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.