Home / 11,142-16,714.08-3,748.32

Finding the Fourth Proportional to 11,142, 16,714.08 and 3,748.32

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Solution

The fourth proportional to 11,142, 16,714.08 and 3,748.32 is: 5,622.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,142 : 16,714.08 = 3,748.32 : x
  2. Step 2: Convert to fraction form
    11,142/16,714.08 = 3,748.32/x
  3. Step 3: Cross multiply
    11,142x = 16,714.08 × 3,748.32
  4. Step 4: Simplify right side
    11,142x = 62,649,720.35
  5. Step 5: Solve for x
    x = 62,649,720.35/11,142
  6. Step 6: Final answer
    x = 5,622.84

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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.