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Finding the Fourth Proportional to 17,714.08, 26,552.89 and 7,858

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Solution

The fourth proportional to 17,714.08, 26,552.89 and 7,858 is: 11,778.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,714.08 : 26,552.89 = 7,858 : x
  2. Step 2: Convert to fraction form
    17,714.08/26,552.89 = 7,858/x
  3. Step 3: Cross multiply
    17,714.08x = 26,552.89 × 7,858
  4. Step 4: Simplify right side
    17,714.08x = 208,652,609.62
  5. Step 5: Solve for x
    x = 208,652,609.62/17,714.08
  6. Step 6: Final answer
    x = 11,778.91

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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.