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Finding the Fourth Proportional to 3,075.52, 4,613.28 and 767.02

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Solution

The fourth proportional to 3,075.52, 4,613.28 and 767.02 is: 1,150.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.52 : 4,613.28 = 767.02 : x
  2. Step 2: Convert to fraction form
    3,075.52/4,613.28 = 767.02/x
  3. Step 3: Cross multiply
    3,075.52x = 4,613.28 × 767.02
  4. Step 4: Simplify right side
    3,075.52x = 3,538,478.03
  5. Step 5: Solve for x
    x = 3,538,478.03/3,075.52
  6. Step 6: Final answer
    x = 1,150.53

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Similar ratio
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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.