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Finding the Fourth Proportional to 9,814, 14,716.20 and 3,966.16

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Solution

The fourth proportional to 9,814, 14,716.20 and 3,966.16 is: 5,947.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814 : 14,716.20 = 3,966.16 : x
  2. Step 2: Convert to fraction form
    9,814/14,716.20 = 3,966.16/x
  3. Step 3: Cross multiply
    9,814x = 14,716.20 × 3,966.16
  4. Step 4: Simplify right side
    9,814x = 58,366,803.79
  5. Step 5: Solve for x
    x = 58,366,803.79/9,814
  6. Step 6: Final answer
    x = 5,947.30

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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.