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Finding the Fourth Proportional to 14,100, 21,149.18 and 4,239.06

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Solution

The fourth proportional to 14,100, 21,149.18 and 4,239.06 is: 6,358.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,100 : 21,149.18 = 4,239.06 : x
  2. Step 2: Convert to fraction form
    14,100/21,149.18 = 4,239.06/x
  3. Step 3: Cross multiply
    14,100x = 21,149.18 × 4,239.06
  4. Step 4: Simplify right side
    14,100x = 89,652,642.97
  5. Step 5: Solve for x
    x = 89,652,642.97/14,100
  6. Step 6: Final answer
    x = 6,358.34

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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.