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Finding the Fourth Proportional to 1,626, 2,243.60 and 962.80

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Solution

The fourth proportional to 1,626, 2,243.60 and 962.80 is: 1,328.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626 : 2,243.60 = 962.80 : x
  2. Step 2: Convert to fraction form
    1,626/2,243.60 = 962.80/x
  3. Step 3: Cross multiply
    1,626x = 2,243.60 × 962.80
  4. Step 4: Simplify right side
    1,626x = 2,160,138.08
  5. Step 5: Solve for x
    x = 2,160,138.08/1,626
  6. Step 6: Final answer
    x = 1,328.50

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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.