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Finding the Fourth Proportional to 9,786.76, 14,681.94 and 3,213.34

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Solution

The fourth proportional to 9,786.76, 14,681.94 and 3,213.34 is: 4,820.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786.76 : 14,681.94 = 3,213.34 : x
  2. Step 2: Convert to fraction form
    9,786.76/14,681.94 = 3,213.34/x
  3. Step 3: Cross multiply
    9,786.76x = 14,681.94 × 3,213.34
  4. Step 4: Simplify right side
    9,786.76x = 47,178,065.08
  5. Step 5: Solve for x
    x = 47,178,065.08/9,786.76
  6. Step 6: Final answer
    x = 4,820.60

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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.