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Finding the Fourth Proportional to 14,253, 21,382.80 and 5,019

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Solution

The fourth proportional to 14,253, 21,382.80 and 5,019 is: 7,529.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,253 : 21,382.80 = 5,019 : x
  2. Step 2: Convert to fraction form
    14,253/21,382.80 = 5,019/x
  3. Step 3: Cross multiply
    14,253x = 21,382.80 × 5,019
  4. Step 4: Simplify right side
    14,253x = 107,320,273.20
  5. Step 5: Solve for x
    x = 107,320,273.20/14,253
  6. Step 6: Final answer
    x = 7,529.66

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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.