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Finding the Fourth Proportional to 13,805.19, 20,676.63 and 6,394.08

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Solution

The fourth proportional to 13,805.19, 20,676.63 and 6,394.08 is: 9,576.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,805.19 : 20,676.63 = 6,394.08 : x
  2. Step 2: Convert to fraction form
    13,805.19/20,676.63 = 6,394.08/x
  3. Step 3: Cross multiply
    13,805.19x = 20,676.63 × 6,394.08
  4. Step 4: Simplify right side
    13,805.19x = 132,208,026.35
  5. Step 5: Solve for x
    x = 132,208,026.35/13,805.19
  6. Step 6: Final answer
    x = 9,576.69

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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.