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Finding the Fourth Proportional to 3,784.37, 5,674.75 and 1,318.88

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Solution

The fourth proportional to 3,784.37, 5,674.75 and 1,318.88 is: 1,977.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.37 : 5,674.75 = 1,318.88 : x
  2. Step 2: Convert to fraction form
    3,784.37/5,674.75 = 1,318.88/x
  3. Step 3: Cross multiply
    3,784.37x = 5,674.75 × 1,318.88
  4. Step 4: Simplify right side
    3,784.37x = 7,484,325.17
  5. Step 5: Solve for x
    x = 7,484,325.17/3,784.37
  6. Step 6: Final answer
    x = 1,977.70

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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.