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Finding the Fourth Proportional to 1,968.28, 2,948.42 and 926.82

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Solution

The fourth proportional to 1,968.28, 2,948.42 and 926.82 is: 1,388.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.28 : 2,948.42 = 926.82 : x
  2. Step 2: Convert to fraction form
    1,968.28/2,948.42 = 926.82/x
  3. Step 3: Cross multiply
    1,968.28x = 2,948.42 × 926.82
  4. Step 4: Simplify right side
    1,968.28x = 2,732,654.62
  5. Step 5: Solve for x
    x = 2,732,654.62/1,968.28
  6. Step 6: Final answer
    x = 1,388.35

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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.