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Finding the Fourth Proportional to 5,423.11, 8,128 and 3,085.06

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Solution

The fourth proportional to 5,423.11, 8,128 and 3,085.06 is: 4,623.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,423.11 : 8,128 = 3,085.06 : x
  2. Step 2: Convert to fraction form
    5,423.11/8,128 = 3,085.06/x
  3. Step 3: Cross multiply
    5,423.11x = 8,128 × 3,085.06
  4. Step 4: Simplify right side
    5,423.11x = 25,075,367.68
  5. Step 5: Solve for x
    x = 25,075,367.68/5,423.11
  6. Step 6: Final answer
    x = 4,623.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.