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Finding the Fourth Proportional to 3,075.55, 4,613.78 and 995.16

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Solution

The fourth proportional to 3,075.55, 4,613.78 and 995.16 is: 1,492.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.55 : 4,613.78 = 995.16 : x
  2. Step 2: Convert to fraction form
    3,075.55/4,613.78 = 995.16/x
  3. Step 3: Cross multiply
    3,075.55x = 4,613.78 × 995.16
  4. Step 4: Simplify right side
    3,075.55x = 4,591,449.30
  5. Step 5: Solve for x
    x = 4,591,449.30/3,075.55
  6. Step 6: Final answer
    x = 1,492.89

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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.