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Finding the Fourth Proportional to 21,919.64, 32,894.10 and 8,068.64

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Solution

The fourth proportional to 21,919.64, 32,894.10 and 8,068.64 is: 12,108.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,919.64 : 32,894.10 = 8,068.64 : x
  2. Step 2: Convert to fraction form
    21,919.64/32,894.10 = 8,068.64/x
  3. Step 3: Cross multiply
    21,919.64x = 32,894.10 × 8,068.64
  4. Step 4: Simplify right side
    21,919.64x = 265,410,651.02
  5. Step 5: Solve for x
    x = 265,410,651.02/21,919.64
  6. Step 6: Final answer
    x = 12,108.35

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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.