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Finding the Fourth Proportional to 7,286.78, 10,931.14 and 2,355.22

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Solution

The fourth proportional to 7,286.78, 10,931.14 and 2,355.22 is: 3,533.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,286.78 : 10,931.14 = 2,355.22 : x
  2. Step 2: Convert to fraction form
    7,286.78/10,931.14 = 2,355.22/x
  3. Step 3: Cross multiply
    7,286.78x = 10,931.14 × 2,355.22
  4. Step 4: Simplify right side
    7,286.78x = 25,745,239.55
  5. Step 5: Solve for x
    x = 25,745,239.55/7,286.78
  6. Step 6: Final answer
    x = 3,533.14

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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.