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Finding the Fourth Proportional to 4,672.89, 7,011.90 and 2,075.76

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Solution

The fourth proportional to 4,672.89, 7,011.90 and 2,075.76 is: 3,114.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.89 : 7,011.90 = 2,075.76 : x
  2. Step 2: Convert to fraction form
    4,672.89/7,011.90 = 2,075.76/x
  3. Step 3: Cross multiply
    4,672.89x = 7,011.90 × 2,075.76
  4. Step 4: Simplify right side
    4,672.89x = 14,555,021.54
  5. Step 5: Solve for x
    x = 14,555,021.54/4,672.89
  6. Step 6: Final answer
    x = 3,114.78

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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.