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Finding the Fourth Proportional to 7,775.70, 10,722 and 5,253.44

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Solution

The fourth proportional to 7,775.70, 10,722 and 5,253.44 is: 7,244.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.70 : 10,722 = 5,253.44 : x
  2. Step 2: Convert to fraction form
    7,775.70/10,722 = 5,253.44/x
  3. Step 3: Cross multiply
    7,775.70x = 10,722 × 5,253.44
  4. Step 4: Simplify right side
    7,775.70x = 56,327,383.68
  5. Step 5: Solve for x
    x = 56,327,383.68/7,775.70
  6. Step 6: Final answer
    x = 7,244.03

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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.