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Finding the Fourth Proportional to 2,674.56, 3,693.24 and 1,681.50

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Solution

The fourth proportional to 2,674.56, 3,693.24 and 1,681.50 is: 2,321.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.56 : 3,693.24 = 1,681.50 : x
  2. Step 2: Convert to fraction form
    2,674.56/3,693.24 = 1,681.50/x
  3. Step 3: Cross multiply
    2,674.56x = 3,693.24 × 1,681.50
  4. Step 4: Simplify right side
    2,674.56x = 6,210,183.06
  5. Step 5: Solve for x
    x = 6,210,183.06/2,674.56
  6. Step 6: Final answer
    x = 2,321.95

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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.