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Finding the Fourth Proportional to 11,379.96, 17,065.62 and 6,453

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Solution

The fourth proportional to 11,379.96, 17,065.62 and 6,453 is: 9,677.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,379.96 : 17,065.62 = 6,453 : x
  2. Step 2: Convert to fraction form
    11,379.96/17,065.62 = 6,453/x
  3. Step 3: Cross multiply
    11,379.96x = 17,065.62 × 6,453
  4. Step 4: Simplify right side
    11,379.96x = 110,124,445.86
  5. Step 5: Solve for x
    x = 110,124,445.86/11,379.96
  6. Step 6: Final answer
    x = 9,677.05

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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.