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Finding the Fourth Proportional to 14,138.88, 21,189.87 and 7,898.64

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Solution

The fourth proportional to 14,138.88, 21,189.87 and 7,898.64 is: 11,837.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,138.88 : 21,189.87 = 7,898.64 : x
  2. Step 2: Convert to fraction form
    14,138.88/21,189.87 = 7,898.64/x
  3. Step 3: Cross multiply
    14,138.88x = 21,189.87 × 7,898.64
  4. Step 4: Simplify right side
    14,138.88x = 167,371,154.78
  5. Step 5: Solve for x
    x = 167,371,154.78/14,138.88
  6. Step 6: Final answer
    x = 11,837.65

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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.