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Finding the Fourth Proportional to 4,986.77, 7,478.53 and 2,211.71

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Solution

The fourth proportional to 4,986.77, 7,478.53 and 2,211.71 is: 3,316.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,986.77 : 7,478.53 = 2,211.71 : x
  2. Step 2: Convert to fraction form
    4,986.77/7,478.53 = 2,211.71/x
  3. Step 3: Cross multiply
    4,986.77x = 7,478.53 × 2,211.71
  4. Step 4: Simplify right side
    4,986.77x = 16,540,296.66
  5. Step 5: Solve for x
    x = 16,540,296.66/4,986.77
  6. Step 6: Final answer
    x = 3,316.84

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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.