Home / 5,075-7,612.26-1,611.80

Finding the Fourth Proportional to 5,075, 7,612.26 and 1,611.80

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Solution

The fourth proportional to 5,075, 7,612.26 and 1,611.80 is: 2,417.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,075 : 7,612.26 = 1,611.80 : x
  2. Step 2: Convert to fraction form
    5,075/7,612.26 = 1,611.80/x
  3. Step 3: Cross multiply
    5,075x = 7,612.26 × 1,611.80
  4. Step 4: Simplify right side
    5,075x = 12,269,440.67
  5. Step 5: Solve for x
    x = 12,269,440.67/5,075
  6. Step 6: Final answer
    x = 2,417.62

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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.