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Finding the Fourth Proportional to 9,117, 13,676.82 and 2,874.90

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Solution

The fourth proportional to 9,117, 13,676.82 and 2,874.90 is: 4,312.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117 : 13,676.82 = 2,874.90 : x
  2. Step 2: Convert to fraction form
    9,117/13,676.82 = 2,874.90/x
  3. Step 3: Cross multiply
    9,117x = 13,676.82 × 2,874.90
  4. Step 4: Simplify right side
    9,117x = 39,319,489.82
  5. Step 5: Solve for x
    x = 39,319,489.82/9,117
  6. Step 6: Final answer
    x = 4,312.77

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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.