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Finding the Fourth Proportional to 3,485.96, 4,805.97 and 2,986.46

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Solution

The fourth proportional to 3,485.96, 4,805.97 and 2,986.46 is: 4,117.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.96 : 4,805.97 = 2,986.46 : x
  2. Step 2: Convert to fraction form
    3,485.96/4,805.97 = 2,986.46/x
  3. Step 3: Cross multiply
    3,485.96x = 4,805.97 × 2,986.46
  4. Step 4: Simplify right side
    3,485.96x = 14,352,837.17
  5. Step 5: Solve for x
    x = 14,352,837.17/3,485.96
  6. Step 6: Final answer
    x = 4,117.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.