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Finding the Fourth Proportional to 11,355, 15,669.90 and 6,387

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Solution

The fourth proportional to 11,355, 15,669.90 and 6,387 is: 8,814.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,355 : 15,669.90 = 6,387 : x
  2. Step 2: Convert to fraction form
    11,355/15,669.90 = 6,387/x
  3. Step 3: Cross multiply
    11,355x = 15,669.90 × 6,387
  4. Step 4: Simplify right side
    11,355x = 100,083,651.30
  5. Step 5: Solve for x
    x = 100,083,651.30/11,355
  6. Step 6: Final answer
    x = 8,814.06

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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.