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Finding the Fourth Proportional to 13,676.12, 18,872.44 and 7,707.76

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Solution

The fourth proportional to 13,676.12, 18,872.44 and 7,707.76 is: 10,636.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,676.12 : 18,872.44 = 7,707.76 : x
  2. Step 2: Convert to fraction form
    13,676.12/18,872.44 = 7,707.76/x
  3. Step 3: Cross multiply
    13,676.12x = 18,872.44 × 7,707.76
  4. Step 4: Simplify right side
    13,676.12x = 145,464,238.13
  5. Step 5: Solve for x
    x = 145,464,238.13/13,676.12
  6. Step 6: Final answer
    x = 10,636.37

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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.