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Finding the Fourth Proportional to 25,415.83, 38,128.81 and 7,885

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Solution

The fourth proportional to 25,415.83, 38,128.81 and 7,885 is: 11,829.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,415.83 : 38,128.81 = 7,885 : x
  2. Step 2: Convert to fraction form
    25,415.83/38,128.81 = 7,885/x
  3. Step 3: Cross multiply
    25,415.83x = 38,128.81 × 7,885
  4. Step 4: Simplify right side
    25,415.83x = 300,645,666.85
  5. Step 5: Solve for x
    x = 300,645,666.85/25,415.83
  6. Step 6: Final answer
    x = 11,829.07

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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.