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Finding the Fourth Proportional to 3,693.46, 5,091 and 3,213.69

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Solution

The fourth proportional to 3,693.46, 5,091 and 3,213.69 is: 4,429.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.46 : 5,091 = 3,213.69 : x
  2. Step 2: Convert to fraction form
    3,693.46/5,091 = 3,213.69/x
  3. Step 3: Cross multiply
    3,693.46x = 5,091 × 3,213.69
  4. Step 4: Simplify right side
    3,693.46x = 16,360,895.79
  5. Step 5: Solve for x
    x = 16,360,895.79/3,693.46
  6. Step 6: Final answer
    x = 4,429.69

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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.