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Finding the Fourth Proportional to 8,826.68, 13,214.10 and 6,964.76

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Solution

The fourth proportional to 8,826.68, 13,214.10 and 6,964.76 is: 10,426.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,826.68 : 13,214.10 = 6,964.76 : x
  2. Step 2: Convert to fraction form
    8,826.68/13,214.10 = 6,964.76/x
  3. Step 3: Cross multiply
    8,826.68x = 13,214.10 × 6,964.76
  4. Step 4: Simplify right side
    8,826.68x = 92,033,035.12
  5. Step 5: Solve for x
    x = 92,033,035.12/8,826.68
  6. Step 6: Final answer
    x = 10,426.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.