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Finding the Fourth Proportional to 1,960, 2,935.90 and 865.14

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Solution

The fourth proportional to 1,960, 2,935.90 and 865.14 is: 1,295.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960 : 2,935.90 = 865.14 : x
  2. Step 2: Convert to fraction form
    1,960/2,935.90 = 865.14/x
  3. Step 3: Cross multiply
    1,960x = 2,935.90 × 865.14
  4. Step 4: Simplify right side
    1,960x = 2,539,964.53
  5. Step 5: Solve for x
    x = 2,539,964.53/1,960
  6. Step 6: Final answer
    x = 1,295.90

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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.