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Finding the Fourth Proportional to 14,012, 21,021.74 and 5,247.80

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Solution

The fourth proportional to 14,012, 21,021.74 and 5,247.80 is: 7,873.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,012 : 21,021.74 = 5,247.80 : x
  2. Step 2: Convert to fraction form
    14,012/21,021.74 = 5,247.80/x
  3. Step 3: Cross multiply
    14,012x = 21,021.74 × 5,247.80
  4. Step 4: Simplify right side
    14,012x = 110,317,887.17
  5. Step 5: Solve for x
    x = 110,317,887.17/14,012
  6. Step 6: Final answer
    x = 7,873.10

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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.