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Finding the Fourth Proportional to 9,696, 14,544 and 3,122.85

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Solution

The fourth proportional to 9,696, 14,544 and 3,122.85 is: 4,684.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696 : 14,544 = 3,122.85 : x
  2. Step 2: Convert to fraction form
    9,696/14,544 = 3,122.85/x
  3. Step 3: Cross multiply
    9,696x = 14,544 × 3,122.85
  4. Step 4: Simplify right side
    9,696x = 45,418,730.40
  5. Step 5: Solve for x
    x = 45,418,730.40/9,696
  6. Step 6: Final answer
    x = 4,684.28

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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.