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Finding the Fourth Proportional to 9,916, 13,684.08 and 5,500

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Solution

The fourth proportional to 9,916, 13,684.08 and 5,500 is: 7,590

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916 : 13,684.08 = 5,500 : x
  2. Step 2: Convert to fraction form
    9,916/13,684.08 = 5,500/x
  3. Step 3: Cross multiply
    9,916x = 13,684.08 × 5,500
  4. Step 4: Simplify right side
    9,916x = 75,262,440
  5. Step 5: Solve for x
    x = 75,262,440/9,916
  6. Step 6: Final answer
    x = 7,590

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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.