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Finding the Fourth Proportional to 3,075.20, 4,609.20 and 1,613.60

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Solution

The fourth proportional to 3,075.20, 4,609.20 and 1,613.60 is: 2,418.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.20 : 4,609.20 = 1,613.60 : x
  2. Step 2: Convert to fraction form
    3,075.20/4,609.20 = 1,613.60/x
  3. Step 3: Cross multiply
    3,075.20x = 4,609.20 × 1,613.60
  4. Step 4: Simplify right side
    3,075.20x = 7,437,405.12
  5. Step 5: Solve for x
    x = 7,437,405.12/3,075.20
  6. Step 6: Final answer
    x = 2,418.51

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1.5x scale

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.