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Finding the Fourth Proportional to 2,628.54, 3,942.34 and 962.32

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Solution

The fourth proportional to 2,628.54, 3,942.34 and 962.32 is: 1,443.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,628.54 : 3,942.34 = 962.32 : x
  2. Step 2: Convert to fraction form
    2,628.54/3,942.34 = 962.32/x
  3. Step 3: Cross multiply
    2,628.54x = 3,942.34 × 962.32
  4. Step 4: Simplify right side
    2,628.54x = 3,793,772.92
  5. Step 5: Solve for x
    x = 3,793,772.92/2,628.54
  6. Step 6: Final answer
    x = 1,443.30

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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.