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Finding the Fourth Proportional to 9,308.64, 12,836.40 and 6,163.68

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Solution

The fourth proportional to 9,308.64, 12,836.40 and 6,163.68 is: 8,499.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,308.64 : 12,836.40 = 6,163.68 : x
  2. Step 2: Convert to fraction form
    9,308.64/12,836.40 = 6,163.68/x
  3. Step 3: Cross multiply
    9,308.64x = 12,836.40 × 6,163.68
  4. Step 4: Simplify right side
    9,308.64x = 79,119,461.95
  5. Step 5: Solve for x
    x = 79,119,461.95/9,308.64
  6. Step 6: Final answer
    x = 8,499.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.