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Finding the Fourth Proportional to 14,827.32, 20,469.11 and 8,538.48

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Solution

The fourth proportional to 14,827.32, 20,469.11 and 8,538.48 is: 11,787.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,827.32 : 20,469.11 = 8,538.48 : x
  2. Step 2: Convert to fraction form
    14,827.32/20,469.11 = 8,538.48/x
  3. Step 3: Cross multiply
    14,827.32x = 20,469.11 × 8,538.48
  4. Step 4: Simplify right side
    14,827.32x = 174,775,043.66
  5. Step 5: Solve for x
    x = 174,775,043.66/14,827.32
  6. Step 6: Final answer
    x = 11,787.37

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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.