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Finding the Fourth Proportional to 16,021.12, 22,108.08 and 8,946.16

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Solution

The fourth proportional to 16,021.12, 22,108.08 and 8,946.16 is: 12,345.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,021.12 : 22,108.08 = 8,946.16 : x
  2. Step 2: Convert to fraction form
    16,021.12/22,108.08 = 8,946.16/x
  3. Step 3: Cross multiply
    16,021.12x = 22,108.08 × 8,946.16
  4. Step 4: Simplify right side
    16,021.12x = 197,782,420.97
  5. Step 5: Solve for x
    x = 197,782,420.97/16,021.12
  6. Step 6: Final answer
    x = 12,345.11

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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.