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Finding the Fourth Proportional to 2,934.66, 4,401.07 and 986.41

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Solution

The fourth proportional to 2,934.66, 4,401.07 and 986.41 is: 1,479.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934.66 : 4,401.07 = 986.41 : x
  2. Step 2: Convert to fraction form
    2,934.66/4,401.07 = 986.41/x
  3. Step 3: Cross multiply
    2,934.66x = 4,401.07 × 986.41
  4. Step 4: Simplify right side
    2,934.66x = 4,341,259.46
  5. Step 5: Solve for x
    x = 4,341,259.46/2,934.66
  6. Step 6: Final answer
    x = 1,479.31

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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.