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Finding the Fourth Proportional to 25,139.40, 37,716 and 7,609.92

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Solution

The fourth proportional to 25,139.40, 37,716 and 7,609.92 is: 11,416.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,139.40 : 37,716 = 7,609.92 : x
  2. Step 2: Convert to fraction form
    25,139.40/37,716 = 7,609.92/x
  3. Step 3: Cross multiply
    25,139.40x = 37,716 × 7,609.92
  4. Step 4: Simplify right side
    25,139.40x = 287,015,742.72
  5. Step 5: Solve for x
    x = 287,015,742.72/25,139.40
  6. Step 6: Final answer
    x = 11,416.97

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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.