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Finding the Fourth Proportional to 25,435.75, 38,159.07 and 7,904.92

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Solution

The fourth proportional to 25,435.75, 38,159.07 and 7,904.92 is: 11,859.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,435.75 : 38,159.07 = 7,904.92 : x
  2. Step 2: Convert to fraction form
    25,435.75/38,159.07 = 7,904.92/x
  3. Step 3: Cross multiply
    25,435.75x = 38,159.07 × 7,904.92
  4. Step 4: Simplify right side
    25,435.75x = 301,644,395.62
  5. Step 5: Solve for x
    x = 301,644,395.62/25,435.75
  6. Step 6: Final answer
    x = 11,859.07

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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.