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Finding the Fourth Proportional to 11,379, 15,703.02 and 6,411

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Solution

The fourth proportional to 11,379, 15,703.02 and 6,411 is: 8,847.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,379 : 15,703.02 = 6,411 : x
  2. Step 2: Convert to fraction form
    11,379/15,703.02 = 6,411/x
  3. Step 3: Cross multiply
    11,379x = 15,703.02 × 6,411
  4. Step 4: Simplify right side
    11,379x = 100,672,061.22
  5. Step 5: Solve for x
    x = 100,672,061.22/11,379
  6. Step 6: Final answer
    x = 8,847.18

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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.