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Finding the Fourth Proportional to 14,640, 21,960 and 6,854.28

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Solution

The fourth proportional to 14,640, 21,960 and 6,854.28 is: 10,281.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,640 : 21,960 = 6,854.28 : x
  2. Step 2: Convert to fraction form
    14,640/21,960 = 6,854.28/x
  3. Step 3: Cross multiply
    14,640x = 21,960 × 6,854.28
  4. Step 4: Simplify right side
    14,640x = 150,519,988.80
  5. Step 5: Solve for x
    x = 150,519,988.80/14,640
  6. Step 6: Final answer
    x = 10,281.42

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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.