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Finding the Fourth Proportional to 7,322, 10,105.64 and 7,078.96

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Solution

The fourth proportional to 7,322, 10,105.64 and 7,078.96 is: 9,770.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,322 : 10,105.64 = 7,078.96 : x
  2. Step 2: Convert to fraction form
    7,322/10,105.64 = 7,078.96/x
  3. Step 3: Cross multiply
    7,322x = 10,105.64 × 7,078.96
  4. Step 4: Simplify right side
    7,322x = 71,537,421.33
  5. Step 5: Solve for x
    x = 71,537,421.33/7,322
  6. Step 6: Final answer
    x = 9,770.20

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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.