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Finding the Fourth Proportional to 4,984.77, 7,477.84 and 2,211.38

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Solution

The fourth proportional to 4,984.77, 7,477.84 and 2,211.38 is: 3,317.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,984.77 : 7,477.84 = 2,211.38 : x
  2. Step 2: Convert to fraction form
    4,984.77/7,477.84 = 2,211.38/x
  3. Step 3: Cross multiply
    4,984.77x = 7,477.84 × 2,211.38
  4. Step 4: Simplify right side
    4,984.77x = 16,536,345.82
  5. Step 5: Solve for x
    x = 16,536,345.82/4,984.77
  6. Step 6: Final answer
    x = 3,317.37

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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.