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Finding the Fourth Proportional to 16,640, 22,963.20 and 9,188

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Solution

The fourth proportional to 16,640, 22,963.20 and 9,188 is: 12,679.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,640 : 22,963.20 = 9,188 : x
  2. Step 2: Convert to fraction form
    16,640/22,963.20 = 9,188/x
  3. Step 3: Cross multiply
    16,640x = 22,963.20 × 9,188
  4. Step 4: Simplify right side
    16,640x = 210,985,881.60
  5. Step 5: Solve for x
    x = 210,985,881.60/16,640
  6. Step 6: Final answer
    x = 12,679.44

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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.