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Finding the Fourth Proportional to 3,674.40, 5,507.44 and 1,823.20

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Solution

The fourth proportional to 3,674.40, 5,507.44 and 1,823.20 is: 2,732.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.40 : 5,507.44 = 1,823.20 : x
  2. Step 2: Convert to fraction form
    3,674.40/5,507.44 = 1,823.20/x
  3. Step 3: Cross multiply
    3,674.40x = 5,507.44 × 1,823.20
  4. Step 4: Simplify right side
    3,674.40x = 10,041,164.61
  5. Step 5: Solve for x
    x = 10,041,164.61/3,674.40
  6. Step 6: Final answer
    x = 2,732.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.