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Finding the Fourth Proportional to 18,124.64, 27,186.96 and 4,977.08

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Solution

The fourth proportional to 18,124.64, 27,186.96 and 4,977.08 is: 7,465.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,124.64 : 27,186.96 = 4,977.08 : x
  2. Step 2: Convert to fraction form
    18,124.64/27,186.96 = 4,977.08/x
  3. Step 3: Cross multiply
    18,124.64x = 27,186.96 × 4,977.08
  4. Step 4: Simplify right side
    18,124.64x = 135,311,674.88
  5. Step 5: Solve for x
    x = 135,311,674.88/18,124.64
  6. Step 6: Final answer
    x = 7,465.62

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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.