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Finding the Fourth Proportional to 11,714.08, 17,564.64 and 3,918.64

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Solution

The fourth proportional to 11,714.08, 17,564.64 and 3,918.64 is: 5,875.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.08 : 17,564.64 = 3,918.64 : x
  2. Step 2: Convert to fraction form
    11,714.08/17,564.64 = 3,918.64/x
  3. Step 3: Cross multiply
    11,714.08x = 17,564.64 × 3,918.64
  4. Step 4: Simplify right side
    11,714.08x = 68,829,500.89
  5. Step 5: Solve for x
    x = 68,829,500.89/11,714.08
  6. Step 6: Final answer
    x = 5,875.79

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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.