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Finding the Fourth Proportional to 5,559, 7,671.66 and 3,075

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Solution

The fourth proportional to 5,559, 7,671.66 and 3,075 is: 4,243.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,559 : 7,671.66 = 3,075 : x
  2. Step 2: Convert to fraction form
    5,559/7,671.66 = 3,075/x
  3. Step 3: Cross multiply
    5,559x = 7,671.66 × 3,075
  4. Step 4: Simplify right side
    5,559x = 23,590,354.50
  5. Step 5: Solve for x
    x = 23,590,354.50/5,559
  6. Step 6: Final answer
    x = 4,243.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.