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Finding the Fourth Proportional to 3,075.68, 4,613.52 and 767.20

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Solution

The fourth proportional to 3,075.68, 4,613.52 and 767.20 is: 1,150.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.68 : 4,613.52 = 767.20 : x
  2. Step 2: Convert to fraction form
    3,075.68/4,613.52 = 767.20/x
  3. Step 3: Cross multiply
    3,075.68x = 4,613.52 × 767.20
  4. Step 4: Simplify right side
    3,075.68x = 3,539,492.54
  5. Step 5: Solve for x
    x = 3,539,492.54/3,075.68
  6. Step 6: Final answer
    x = 1,150.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.