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Finding the Fourth Proportional to 3,075.78, 4,613.10 and 1,433.10

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Solution

The fourth proportional to 3,075.78, 4,613.10 and 1,433.10 is: 2,149.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.78 : 4,613.10 = 1,433.10 : x
  2. Step 2: Convert to fraction form
    3,075.78/4,613.10 = 1,433.10/x
  3. Step 3: Cross multiply
    3,075.78x = 4,613.10 × 1,433.10
  4. Step 4: Simplify right side
    3,075.78x = 6,611,033.61
  5. Step 5: Solve for x
    x = 6,611,033.61/3,075.78
  6. Step 6: Final answer
    x = 2,149.38

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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.