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Finding the Fourth Proportional to 9,812.70, 14,725.14 and 3,969.36

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Solution

The fourth proportional to 9,812.70, 14,725.14 and 3,969.36 is: 5,956.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.70 : 14,725.14 = 3,969.36 : x
  2. Step 2: Convert to fraction form
    9,812.70/14,725.14 = 3,969.36/x
  3. Step 3: Cross multiply
    9,812.70x = 14,725.14 × 3,969.36
  4. Step 4: Simplify right side
    9,812.70x = 58,449,381.71
  5. Step 5: Solve for x
    x = 58,449,381.71/9,812.70
  6. Step 6: Final answer
    x = 5,956.50

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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.