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Finding the Fourth Proportional to 2,936.11, 4,401.41 and 986.95

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Solution

The fourth proportional to 2,936.11, 4,401.41 and 986.95 is: 1,479.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,936.11 : 4,401.41 = 986.95 : x
  2. Step 2: Convert to fraction form
    2,936.11/4,401.41 = 986.95/x
  3. Step 3: Cross multiply
    2,936.11x = 4,401.41 × 986.95
  4. Step 4: Simplify right side
    2,936.11x = 4,343,955.66
  5. Step 5: Solve for x
    x = 4,343,955.66/2,936.11
  6. Step 6: Final answer
    x = 1,479.49

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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.