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Finding the Fourth Proportional to 25,662.72, 38,488.64 and 8,134.08

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Solution

The fourth proportional to 25,662.72, 38,488.64 and 8,134.08 is: 12,199.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,662.72 : 38,488.64 = 8,134.08 : x
  2. Step 2: Convert to fraction form
    25,662.72/38,488.64 = 8,134.08/x
  3. Step 3: Cross multiply
    25,662.72x = 38,488.64 × 8,134.08
  4. Step 4: Simplify right side
    25,662.72x = 313,069,676.85
  5. Step 5: Solve for x
    x = 313,069,676.85/25,662.72
  6. Step 6: Final answer
    x = 12,199.40

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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.