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Finding the Fourth Proportional to 9,623, 13,279.74 and 5,897

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Solution

The fourth proportional to 9,623, 13,279.74 and 5,897 is: 8,137.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,623 : 13,279.74 = 5,897 : x
  2. Step 2: Convert to fraction form
    9,623/13,279.74 = 5,897/x
  3. Step 3: Cross multiply
    9,623x = 13,279.74 × 5,897
  4. Step 4: Simplify right side
    9,623x = 78,310,626.78
  5. Step 5: Solve for x
    x = 78,310,626.78/9,623
  6. Step 6: Final answer
    x = 8,137.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.