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Finding the Fourth Proportional to 9,286.08, 13,921.20 and 7,347.20

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Solution

The fourth proportional to 9,286.08, 13,921.20 and 7,347.20 is: 11,014.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286.08 : 13,921.20 = 7,347.20 : x
  2. Step 2: Convert to fraction form
    9,286.08/13,921.20 = 7,347.20/x
  3. Step 3: Cross multiply
    9,286.08x = 13,921.20 × 7,347.20
  4. Step 4: Simplify right side
    9,286.08x = 102,281,840.64
  5. Step 5: Solve for x
    x = 102,281,840.64/9,286.08
  6. Step 6: Final answer
    x = 11,014.53

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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.