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Finding the Fourth Proportional to 3,695.63, 5,109.08 and 3,540.71

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Solution

The fourth proportional to 3,695.63, 5,109.08 and 3,540.71 is: 4,894.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.63 : 5,109.08 = 3,540.71 : x
  2. Step 2: Convert to fraction form
    3,695.63/5,109.08 = 3,540.71/x
  3. Step 3: Cross multiply
    3,695.63x = 5,109.08 × 3,540.71
  4. Step 4: Simplify right side
    3,695.63x = 18,089,765.72
  5. Step 5: Solve for x
    x = 18,089,765.72/3,695.63
  6. Step 6: Final answer
    x = 4,894.91

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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.