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Finding the Fourth Proportional to 17,719, 26,590.02 and 6,775

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Solution

The fourth proportional to 17,719, 26,590.02 and 6,775 is: 10,166.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,719 : 26,590.02 = 6,775 : x
  2. Step 2: Convert to fraction form
    17,719/26,590.02 = 6,775/x
  3. Step 3: Cross multiply
    17,719x = 26,590.02 × 6,775
  4. Step 4: Simplify right side
    17,719x = 180,147,385.50
  5. Step 5: Solve for x
    x = 180,147,385.50/17,719
  6. Step 6: Final answer
    x = 10,166.90

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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.