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Finding the Fourth Proportional to 13,635, 20,457.30 and 6,714.36

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Solution

The fourth proportional to 13,635, 20,457.30 and 6,714.36 is: 10,073.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,635 : 20,457.30 = 6,714.36 : x
  2. Step 2: Convert to fraction form
    13,635/20,457.30 = 6,714.36/x
  3. Step 3: Cross multiply
    13,635x = 20,457.30 × 6,714.36
  4. Step 4: Simplify right side
    13,635x = 137,357,676.83
  5. Step 5: Solve for x
    x = 137,357,676.83/13,635
  6. Step 6: Final answer
    x = 10,073.90

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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.