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Finding the Fourth Proportional to 14,239, 19,649.62 and 8,274.03

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Solution

The fourth proportional to 14,239, 19,649.62 and 8,274.03 is: 11,418.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,239 : 19,649.62 = 8,274.03 : x
  2. Step 2: Convert to fraction form
    14,239/19,649.62 = 8,274.03/x
  3. Step 3: Cross multiply
    14,239x = 19,649.62 × 8,274.03
  4. Step 4: Simplify right side
    14,239x = 162,581,545.37
  5. Step 5: Solve for x
    x = 162,581,545.37/14,239
  6. Step 6: Final answer
    x = 11,418.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.