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Finding the Fourth Proportional to 25,912, 38,868 and 7,444.16

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Solution

The fourth proportional to 25,912, 38,868 and 7,444.16 is: 11,166.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,912 : 38,868 = 7,444.16 : x
  2. Step 2: Convert to fraction form
    25,912/38,868 = 7,444.16/x
  3. Step 3: Cross multiply
    25,912x = 38,868 × 7,444.16
  4. Step 4: Simplify right side
    25,912x = 289,339,610.88
  5. Step 5: Solve for x
    x = 289,339,610.88/25,912
  6. Step 6: Final answer
    x = 11,166.24

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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.