Home / 5,075-7,613.48-1,788.20

Finding the Fourth Proportional to 5,075, 7,613.48 and 1,788.20

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Solution

The fourth proportional to 5,075, 7,613.48 and 1,788.20 is: 2,682.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,075 : 7,613.48 = 1,788.20 : x
  2. Step 2: Convert to fraction form
    5,075/7,613.48 = 1,788.20/x
  3. Step 3: Cross multiply
    5,075x = 7,613.48 × 1,788.20
  4. Step 4: Simplify right side
    5,075x = 13,614,424.94
  5. Step 5: Solve for x
    x = 13,614,424.94/5,075
  6. Step 6: Final answer
    x = 2,682.65

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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.