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Finding the Fourth Proportional to 11,144.86, 15,375 and 6,666.40

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Solution

The fourth proportional to 11,144.86, 15,375 and 6,666.40 is: 9,196.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,144.86 : 15,375 = 6,666.40 : x
  2. Step 2: Convert to fraction form
    11,144.86/15,375 = 6,666.40/x
  3. Step 3: Cross multiply
    11,144.86x = 15,375 × 6,666.40
  4. Step 4: Simplify right side
    11,144.86x = 102,495,900
  5. Step 5: Solve for x
    x = 102,495,900/11,144.86
  6. Step 6: Final answer
    x = 9,196.70

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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.