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Finding the Fourth Proportional to 1,957.96, 2,936.13 and 659.53

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Solution

The fourth proportional to 1,957.96, 2,936.13 and 659.53 is: 989.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.96 : 2,936.13 = 659.53 : x
  2. Step 2: Convert to fraction form
    1,957.96/2,936.13 = 659.53/x
  3. Step 3: Cross multiply
    1,957.96x = 2,936.13 × 659.53
  4. Step 4: Simplify right side
    1,957.96x = 1,936,465.82
  5. Step 5: Solve for x
    x = 1,936,465.82/1,957.96
  6. Step 6: Final answer
    x = 989.02

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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.