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Finding the Fourth Proportional to 1,965.62, 2,949.68 and 925.58

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Solution

The fourth proportional to 1,965.62, 2,949.68 and 925.58 is: 1,388.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.62 : 2,949.68 = 925.58 : x
  2. Step 2: Convert to fraction form
    1,965.62/2,949.68 = 925.58/x
  3. Step 3: Cross multiply
    1,965.62x = 2,949.68 × 925.58
  4. Step 4: Simplify right side
    1,965.62x = 2,730,164.81
  5. Step 5: Solve for x
    x = 2,730,164.81/1,965.62
  6. Step 6: Final answer
    x = 1,388.96

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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.