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Finding the Fourth Proportional to 38,798, 58,197 and 12,505.44

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Solution

The fourth proportional to 38,798, 58,197 and 12,505.44 is: 18,758.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,798 : 58,197 = 12,505.44 : x
  2. Step 2: Convert to fraction form
    38,798/58,197 = 12,505.44/x
  3. Step 3: Cross multiply
    38,798x = 58,197 × 12,505.44
  4. Step 4: Simplify right side
    38,798x = 727,779,091.68
  5. Step 5: Solve for x
    x = 727,779,091.68/38,798
  6. Step 6: Final answer
    x = 18,758.16

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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.