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Finding the Fourth Proportional to 18,248.68, 27,367.62 and 7,858

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Solution

The fourth proportional to 18,248.68, 27,367.62 and 7,858 is: 11,784.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,248.68 : 27,367.62 = 7,858 : x
  2. Step 2: Convert to fraction form
    18,248.68/27,367.62 = 7,858/x
  3. Step 3: Cross multiply
    18,248.68x = 27,367.62 × 7,858
  4. Step 4: Simplify right side
    18,248.68x = 215,054,757.96
  5. Step 5: Solve for x
    x = 215,054,757.96/18,248.68
  6. Step 6: Final answer
    x = 11,784.67

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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.