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Finding the Fourth Proportional to 9,155.56, 13,728.20 and 2,914.48

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Solution

The fourth proportional to 9,155.56, 13,728.20 and 2,914.48 is: 4,370.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,155.56 : 13,728.20 = 2,914.48 : x
  2. Step 2: Convert to fraction form
    9,155.56/13,728.20 = 2,914.48/x
  3. Step 3: Cross multiply
    9,155.56x = 13,728.20 × 2,914.48
  4. Step 4: Simplify right side
    9,155.56x = 40,010,564.34
  5. Step 5: Solve for x
    x = 40,010,564.34/9,155.56
  6. Step 6: Final answer
    x = 4,370.08

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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.