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Finding the Fourth Proportional to 3,075.98, 4,613.48 and 884.21

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Solution

The fourth proportional to 3,075.98, 4,613.48 and 884.21 is: 1,326.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.98 : 4,613.48 = 884.21 : x
  2. Step 2: Convert to fraction form
    3,075.98/4,613.48 = 884.21/x
  3. Step 3: Cross multiply
    3,075.98x = 4,613.48 × 884.21
  4. Step 4: Simplify right side
    3,075.98x = 4,079,280.73
  5. Step 5: Solve for x
    x = 4,079,280.73/3,075.98
  6. Step 6: Final answer
    x = 1,326.17

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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.