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Finding the Fourth Proportional to 1,968.33, 2,950.36 and 927.52

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Solution

The fourth proportional to 1,968.33, 2,950.36 and 927.52 is: 1,390.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.33 : 2,950.36 = 927.52 : x
  2. Step 2: Convert to fraction form
    1,968.33/2,950.36 = 927.52/x
  3. Step 3: Cross multiply
    1,968.33x = 2,950.36 × 927.52
  4. Step 4: Simplify right side
    1,968.33x = 2,736,508.21
  5. Step 5: Solve for x
    x = 2,736,508.21/1,968.33
  6. Step 6: Final answer
    x = 1,390.27

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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.