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Finding the Fourth Proportional to 25,129.72, 37,694.87 and 6,409.72

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Solution

The fourth proportional to 25,129.72, 37,694.87 and 6,409.72 is: 9,614.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,129.72 : 37,694.87 = 6,409.72 : x
  2. Step 2: Convert to fraction form
    25,129.72/37,694.87 = 6,409.72/x
  3. Step 3: Cross multiply
    25,129.72x = 37,694.87 × 6,409.72
  4. Step 4: Simplify right side
    25,129.72x = 241,613,459.89
  5. Step 5: Solve for x
    x = 241,613,459.89/25,129.72
  6. Step 6: Final answer
    x = 9,614.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.