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Finding the Fourth Proportional to 14,047.15, 21,076.86 and 8,203.78

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Solution

The fourth proportional to 14,047.15, 21,076.86 and 8,203.78 is: 12,309.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,047.15 : 21,076.86 = 8,203.78 : x
  2. Step 2: Convert to fraction form
    14,047.15/21,076.86 = 8,203.78/x
  3. Step 3: Cross multiply
    14,047.15x = 21,076.86 × 8,203.78
  4. Step 4: Simplify right side
    14,047.15x = 172,909,922.53
  5. Step 5: Solve for x
    x = 172,909,922.53/14,047.15
  6. Step 6: Final answer
    x = 12,309.25

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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.