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Finding the Fourth Proportional to 25,853, 38,779.50 and 8,324.60

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Solution

The fourth proportional to 25,853, 38,779.50 and 8,324.60 is: 12,486.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,853 : 38,779.50 = 8,324.60 : x
  2. Step 2: Convert to fraction form
    25,853/38,779.50 = 8,324.60/x
  3. Step 3: Cross multiply
    25,853x = 38,779.50 × 8,324.60
  4. Step 4: Simplify right side
    25,853x = 322,823,825.70
  5. Step 5: Solve for x
    x = 322,823,825.70/25,853
  6. Step 6: Final answer
    x = 12,486.90

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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.