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Finding the Fourth Proportional to 7,722, 10,665 and 5,233.68

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Solution

The fourth proportional to 7,722, 10,665 and 5,233.68 is: 7,228.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722 : 10,665 = 5,233.68 : x
  2. Step 2: Convert to fraction form
    7,722/10,665 = 5,233.68/x
  3. Step 3: Cross multiply
    7,722x = 10,665 × 5,233.68
  4. Step 4: Simplify right side
    7,722x = 55,817,197.20
  5. Step 5: Solve for x
    x = 55,817,197.20/7,722
  6. Step 6: Final answer
    x = 7,228.33

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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.