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Finding the Fourth Proportional to 8,000, 11,040 and 4,688

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Solution

The fourth proportional to 8,000, 11,040 and 4,688 is: 6,469.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000 : 11,040 = 4,688 : x
  2. Step 2: Convert to fraction form
    8,000/11,040 = 4,688/x
  3. Step 3: Cross multiply
    8,000x = 11,040 × 4,688
  4. Step 4: Simplify right side
    8,000x = 51,755,520
  5. Step 5: Solve for x
    x = 51,755,520/8,000
  6. Step 6: Final answer
    x = 6,469.44

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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.