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Finding the Fourth Proportional to 14,375, 21,562.50 and 3,986.75

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Solution

The fourth proportional to 14,375, 21,562.50 and 3,986.75 is: 5,980.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,375 : 21,562.50 = 3,986.75 : x
  2. Step 2: Convert to fraction form
    14,375/21,562.50 = 3,986.75/x
  3. Step 3: Cross multiply
    14,375x = 21,562.50 × 3,986.75
  4. Step 4: Simplify right side
    14,375x = 85,964,296.88
  5. Step 5: Solve for x
    x = 85,964,296.88/14,375
  6. Step 6: Final answer
    x = 5,980.13

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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.