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Finding the Fourth Proportional to 9,812.94, 14,720.09 and 3,243.75

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Solution

The fourth proportional to 9,812.94, 14,720.09 and 3,243.75 is: 4,865.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.94 : 14,720.09 = 3,243.75 : x
  2. Step 2: Convert to fraction form
    9,812.94/14,720.09 = 3,243.75/x
  3. Step 3: Cross multiply
    9,812.94x = 14,720.09 × 3,243.75
  4. Step 4: Simplify right side
    9,812.94x = 47,748,291.94
  5. Step 5: Solve for x
    x = 47,748,291.94/9,812.94
  6. Step 6: Final answer
    x = 4,865.85

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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.