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Finding the Fourth Proportional to 15,919, 23,887.26 and 7,711

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Solution

The fourth proportional to 15,919, 23,887.26 and 7,711 is: 11,570.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,919 : 23,887.26 = 7,711 : x
  2. Step 2: Convert to fraction form
    15,919/23,887.26 = 7,711/x
  3. Step 3: Cross multiply
    15,919x = 23,887.26 × 7,711
  4. Step 4: Simplify right side
    15,919x = 184,194,661.86
  5. Step 5: Solve for x
    x = 184,194,661.86/15,919
  6. Step 6: Final answer
    x = 11,570.74

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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.