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Finding the Fourth Proportional to 3,693, 5,096.34 and 2,121.06

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Solution

The fourth proportional to 3,693, 5,096.34 and 2,121.06 is: 2,927.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693 : 5,096.34 = 2,121.06 : x
  2. Step 2: Convert to fraction form
    3,693/5,096.34 = 2,121.06/x
  3. Step 3: Cross multiply
    3,693x = 5,096.34 × 2,121.06
  4. Step 4: Simplify right side
    3,693x = 10,809,642.92
  5. Step 5: Solve for x
    x = 10,809,642.92/3,693
  6. Step 6: Final answer
    x = 2,927.06

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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.