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Finding the Fourth Proportional to 11,372.67, 15,689.97 and 6,894.86

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Solution

The fourth proportional to 11,372.67, 15,689.97 and 6,894.86 is: 9,512.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,372.67 : 15,689.97 = 6,894.86 : x
  2. Step 2: Convert to fraction form
    11,372.67/15,689.97 = 6,894.86/x
  3. Step 3: Cross multiply
    11,372.67x = 15,689.97 × 6,894.86
  4. Step 4: Simplify right side
    11,372.67x = 108,180,068.10
  5. Step 5: Solve for x
    x = 108,180,068.10/11,372.67
  6. Step 6: Final answer
    x = 9,512.28

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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.