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Finding the Fourth Proportional to 3,240, 4,471.20 and 1,768

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Solution

The fourth proportional to 3,240, 4,471.20 and 1,768 is: 2,439.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,240 : 4,471.20 = 1,768 : x
  2. Step 2: Convert to fraction form
    3,240/4,471.20 = 1,768/x
  3. Step 3: Cross multiply
    3,240x = 4,471.20 × 1,768
  4. Step 4: Simplify right side
    3,240x = 7,905,081.60
  5. Step 5: Solve for x
    x = 7,905,081.60/3,240
  6. Step 6: Final answer
    x = 2,439.84

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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.