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Finding the Fourth Proportional to 8,814, 12,158.70 and 5,226.86

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Solution

The fourth proportional to 8,814, 12,158.70 and 5,226.86 is: 7,210.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,814 : 12,158.70 = 5,226.86 : x
  2. Step 2: Convert to fraction form
    8,814/12,158.70 = 5,226.86/x
  3. Step 3: Cross multiply
    8,814x = 12,158.70 × 5,226.86
  4. Step 4: Simplify right side
    8,814x = 63,551,822.68
  5. Step 5: Solve for x
    x = 63,551,822.68/8,814
  6. Step 6: Final answer
    x = 7,210.33

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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.