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Finding the Fourth Proportional to 14,121, 21,173.90 and 4,757.90

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Solution

The fourth proportional to 14,121, 21,173.90 and 4,757.90 is: 7,134.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,121 : 21,173.90 = 4,757.90 : x
  2. Step 2: Convert to fraction form
    14,121/21,173.90 = 4,757.90/x
  3. Step 3: Cross multiply
    14,121x = 21,173.90 × 4,757.90
  4. Step 4: Simplify right side
    14,121x = 100,743,298.81
  5. Step 5: Solve for x
    x = 100,743,298.81/14,121
  6. Step 6: Final answer
    x = 7,134.29

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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.