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Finding the Fourth Proportional to 1,930.82, 2,896.68 and 632.21

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Solution

The fourth proportional to 1,930.82, 2,896.68 and 632.21 is: 948.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.82 : 2,896.68 = 632.21 : x
  2. Step 2: Convert to fraction form
    1,930.82/2,896.68 = 632.21/x
  3. Step 3: Cross multiply
    1,930.82x = 2,896.68 × 632.21
  4. Step 4: Simplify right side
    1,930.82x = 1,831,310.06
  5. Step 5: Solve for x
    x = 1,831,310.06/1,930.82
  6. Step 6: Final answer
    x = 948.46

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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.