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Finding the Fourth Proportional to 14,138.44, 21,201 and 5,247.61

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Solution

The fourth proportional to 14,138.44, 21,201 and 5,247.61 is: 7,868.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,138.44 : 21,201 = 5,247.61 : x
  2. Step 2: Convert to fraction form
    14,138.44/21,201 = 5,247.61/x
  3. Step 3: Cross multiply
    14,138.44x = 21,201 × 5,247.61
  4. Step 4: Simplify right side
    14,138.44x = 111,254,579.61
  5. Step 5: Solve for x
    x = 111,254,579.61/14,138.44
  6. Step 6: Final answer
    x = 7,868.94

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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.