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Finding the Fourth Proportional to 21,208.56, 31,805.28 and 8,064.48

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Solution

The fourth proportional to 21,208.56, 31,805.28 and 8,064.48 is: 12,093.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,208.56 : 31,805.28 = 8,064.48 : x
  2. Step 2: Convert to fraction form
    21,208.56/31,805.28 = 8,064.48/x
  3. Step 3: Cross multiply
    21,208.56x = 31,805.28 × 8,064.48
  4. Step 4: Simplify right side
    21,208.56x = 256,493,044.45
  5. Step 5: Solve for x
    x = 256,493,044.45/21,208.56
  6. Step 6: Final answer
    x = 12,093.85

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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.