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Finding the Fourth Proportional to 4,075, 5,624.78 and 2,418.68

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Solution

The fourth proportional to 4,075, 5,624.78 and 2,418.68 is: 3,338.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,075 : 5,624.78 = 2,418.68 : x
  2. Step 2: Convert to fraction form
    4,075/5,624.78 = 2,418.68/x
  3. Step 3: Cross multiply
    4,075x = 5,624.78 × 2,418.68
  4. Step 4: Simplify right side
    4,075x = 13,604,542.89
  5. Step 5: Solve for x
    x = 13,604,542.89/4,075
  6. Step 6: Final answer
    x = 3,338.54

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1.5x scale

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.