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Finding the Fourth Proportional to 18,505.64, 27,741.45 and 7,405.40

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Solution

The fourth proportional to 18,505.64, 27,741.45 and 7,405.40 is: 11,101.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,505.64 : 27,741.45 = 7,405.40 : x
  2. Step 2: Convert to fraction form
    18,505.64/27,741.45 = 7,405.40/x
  3. Step 3: Cross multiply
    18,505.64x = 27,741.45 × 7,405.40
  4. Step 4: Simplify right side
    18,505.64x = 205,436,533.83
  5. Step 5: Solve for x
    x = 205,436,533.83/18,505.64
  6. Step 6: Final answer
    x = 11,101.29

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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.