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Finding the Fourth Proportional to 6,409.10, 9,613.65 and 3,128.60

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Solution

The fourth proportional to 6,409.10, 9,613.65 and 3,128.60 is: 4,692.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.10 : 9,613.65 = 3,128.60 : x
  2. Step 2: Convert to fraction form
    6,409.10/9,613.65 = 3,128.60/x
  3. Step 3: Cross multiply
    6,409.10x = 9,613.65 × 3,128.60
  4. Step 4: Simplify right side
    6,409.10x = 30,077,265.39
  5. Step 5: Solve for x
    x = 30,077,265.39/6,409.10
  6. Step 6: Final answer
    x = 4,692.90

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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.