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Finding the Fourth Proportional to 9,922, 14,878.54 and 7,137

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Solution

The fourth proportional to 9,922, 14,878.54 and 7,137 is: 10,702.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,922 : 14,878.54 = 7,137 : x
  2. Step 2: Convert to fraction form
    9,922/14,878.54 = 7,137/x
  3. Step 3: Cross multiply
    9,922x = 14,878.54 × 7,137
  4. Step 4: Simplify right side
    9,922x = 106,188,139.98
  5. Step 5: Solve for x
    x = 106,188,139.98/9,922
  6. Step 6: Final answer
    x = 10,702.29

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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.