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Finding the Fourth Proportional to 9,178, 13,765.56 and 7,627.96

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Solution

The fourth proportional to 9,178, 13,765.56 and 7,627.96 is: 11,440.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178 : 13,765.56 = 7,627.96 : x
  2. Step 2: Convert to fraction form
    9,178/13,765.56 = 7,627.96/x
  3. Step 3: Cross multiply
    9,178x = 13,765.56 × 7,627.96
  4. Step 4: Simplify right side
    9,178x = 105,003,141.06
  5. Step 5: Solve for x
    x = 105,003,141.06/9,178
  6. Step 6: Final answer
    x = 11,440.74

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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.