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Finding the Fourth Proportional to 3,513.99, 5,270.37 and 1,205.49

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Solution

The fourth proportional to 3,513.99, 5,270.37 and 1,205.49 is: 1,808.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513.99 : 5,270.37 = 1,205.49 : x
  2. Step 2: Convert to fraction form
    3,513.99/5,270.37 = 1,205.49/x
  3. Step 3: Cross multiply
    3,513.99x = 5,270.37 × 1,205.49
  4. Step 4: Simplify right side
    3,513.99x = 6,353,345.95
  5. Step 5: Solve for x
    x = 6,353,345.95/3,513.99
  6. Step 6: Final answer
    x = 1,808.02

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Double scale
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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.