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Finding the Fourth Proportional to 8,811, 13,221.83 and 3,547.17

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Solution

The fourth proportional to 8,811, 13,221.83 and 3,547.17 is: 5,322.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,811 : 13,221.83 = 3,547.17 : x
  2. Step 2: Convert to fraction form
    8,811/13,221.83 = 3,547.17/x
  3. Step 3: Cross multiply
    8,811x = 13,221.83 × 3,547.17
  4. Step 4: Simplify right side
    8,811x = 46,900,060.99
  5. Step 5: Solve for x
    x = 46,900,060.99/8,811
  6. Step 6: Final answer
    x = 5,322.90

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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.