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Finding the Fourth Proportional to 2,936.14, 4,404.63 and 987.68

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Solution

The fourth proportional to 2,936.14, 4,404.63 and 987.68 is: 1,481.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,936.14 : 4,404.63 = 987.68 : x
  2. Step 2: Convert to fraction form
    2,936.14/4,404.63 = 987.68/x
  3. Step 3: Cross multiply
    2,936.14x = 4,404.63 × 987.68
  4. Step 4: Simplify right side
    2,936.14x = 4,350,364.96
  5. Step 5: Solve for x
    x = 4,350,364.96/2,936.14
  6. Step 6: Final answer
    x = 1,481.66

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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.