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Finding the Fourth Proportional to 7,977, 11,004.48 and 5,620.44

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Solution

The fourth proportional to 7,977, 11,004.48 and 5,620.44 is: 7,753.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,977 : 11,004.48 = 5,620.44 : x
  2. Step 2: Convert to fraction form
    7,977/11,004.48 = 5,620.44/x
  3. Step 3: Cross multiply
    7,977x = 11,004.48 × 5,620.44
  4. Step 4: Simplify right side
    7,977x = 61,850,019.57
  5. Step 5: Solve for x
    x = 61,850,019.57/7,977
  6. Step 6: Final answer
    x = 7,753.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.