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Finding the Fourth Proportional to 25,357.44, 38,039.80 and 7,828.76

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Solution

The fourth proportional to 25,357.44, 38,039.80 and 7,828.76 is: 11,744.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,357.44 : 38,039.80 = 7,828.76 : x
  2. Step 2: Convert to fraction form
    25,357.44/38,039.80 = 7,828.76/x
  3. Step 3: Cross multiply
    25,357.44x = 38,039.80 × 7,828.76
  4. Step 4: Simplify right side
    25,357.44x = 297,804,464.65
  5. Step 5: Solve for x
    x = 297,804,464.65/25,357.44
  6. Step 6: Final answer
    x = 11,744.26

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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.