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Finding the Fourth Proportional to 14,615.75, 21,912.69 and 4,749.14

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Solution

The fourth proportional to 14,615.75, 21,912.69 and 4,749.14 is: 7,120.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,615.75 : 21,912.69 = 4,749.14 : x
  2. Step 2: Convert to fraction form
    14,615.75/21,912.69 = 4,749.14/x
  3. Step 3: Cross multiply
    14,615.75x = 21,912.69 × 4,749.14
  4. Step 4: Simplify right side
    14,615.75x = 104,066,432.59
  5. Step 5: Solve for x
    x = 104,066,432.59/14,615.75
  6. Step 6: Final answer
    x = 7,120.16

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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.