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Finding the Fourth Proportional to 15,992.90, 22,070.24 and 8,919.78

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Solution

The fourth proportional to 15,992.90, 22,070.24 and 8,919.78 is: 12,309.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,992.90 : 22,070.24 = 8,919.78 : x
  2. Step 2: Convert to fraction form
    15,992.90/22,070.24 = 8,919.78/x
  3. Step 3: Cross multiply
    15,992.90x = 22,070.24 × 8,919.78
  4. Step 4: Simplify right side
    15,992.90x = 196,861,685.35
  5. Step 5: Solve for x
    x = 196,861,685.35/15,992.90
  6. Step 6: Final answer
    x = 12,309.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.