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Finding the Fourth Proportional to 25,447.86, 38,177.33 and 7,919.10

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Solution

The fourth proportional to 25,447.86, 38,177.33 and 7,919.10 is: 11,880.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,447.86 : 38,177.33 = 7,919.10 : x
  2. Step 2: Convert to fraction form
    25,447.86/38,177.33 = 7,919.10/x
  3. Step 3: Cross multiply
    25,447.86x = 38,177.33 × 7,919.10
  4. Step 4: Simplify right side
    25,447.86x = 302,330,094.00
  5. Step 5: Solve for x
    x = 302,330,094.00/25,447.86
  6. Step 6: Final answer
    x = 11,880.37

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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.