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Finding the Fourth Proportional to 21,224.70, 31,838.10 and 8,078.09

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Solution

The fourth proportional to 21,224.70, 31,838.10 and 8,078.09 is: 12,117.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,224.70 : 31,838.10 = 8,078.09 : x
  2. Step 2: Convert to fraction form
    21,224.70/31,838.10 = 8,078.09/x
  3. Step 3: Cross multiply
    21,224.70x = 31,838.10 × 8,078.09
  4. Step 4: Simplify right side
    21,224.70x = 257,191,037.23
  5. Step 5: Solve for x
    x = 257,191,037.23/21,224.70
  6. Step 6: Final answer
    x = 12,117.53

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1.5x scale

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.