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Finding the Fourth Proportional to 21,856.86, 32,788.50 and 8,004.78

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Solution

The fourth proportional to 21,856.86, 32,788.50 and 8,004.78 is: 12,008.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,856.86 : 32,788.50 = 8,004.78 : x
  2. Step 2: Convert to fraction form
    21,856.86/32,788.50 = 8,004.78/x
  3. Step 3: Cross multiply
    21,856.86x = 32,788.50 × 8,004.78
  4. Step 4: Simplify right side
    21,856.86x = 262,464,729.03
  5. Step 5: Solve for x
    x = 262,464,729.03/21,856.86
  6. Step 6: Final answer
    x = 12,008.35

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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.