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Finding the Fourth Proportional to 14,148.50, 21,232.50 and 4,914.50

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Solution

The fourth proportional to 14,148.50, 21,232.50 and 4,914.50 is: 7,375.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,148.50 : 21,232.50 = 4,914.50 : x
  2. Step 2: Convert to fraction form
    14,148.50/21,232.50 = 4,914.50/x
  3. Step 3: Cross multiply
    14,148.50x = 21,232.50 × 4,914.50
  4. Step 4: Simplify right side
    14,148.50x = 104,347,121.25
  5. Step 5: Solve for x
    x = 104,347,121.25/14,148.50
  6. Step 6: Final answer
    x = 7,375.14

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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.