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Finding the Fourth Proportional to 14,407, 21,614.15 and 4,018.75

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Solution

The fourth proportional to 14,407, 21,614.15 and 4,018.75 is: 6,029.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,407 : 21,614.15 = 4,018.75 : x
  2. Step 2: Convert to fraction form
    14,407/21,614.15 = 4,018.75/x
  3. Step 3: Cross multiply
    14,407x = 21,614.15 × 4,018.75
  4. Step 4: Simplify right side
    14,407x = 86,861,865.31
  5. Step 5: Solve for x
    x = 86,861,865.31/14,407
  6. Step 6: Final answer
    x = 6,029.14

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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.