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Finding the Fourth Proportional to 8,555.04, 11,806.83 and 5,409

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Solution

The fourth proportional to 8,555.04, 11,806.83 and 5,409 is: 7,464.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,555.04 : 11,806.83 = 5,409 : x
  2. Step 2: Convert to fraction form
    8,555.04/11,806.83 = 5,409/x
  3. Step 3: Cross multiply
    8,555.04x = 11,806.83 × 5,409
  4. Step 4: Simplify right side
    8,555.04x = 63,863,143.47
  5. Step 5: Solve for x
    x = 63,863,143.47/8,555.04
  6. Step 6: Final answer
    x = 7,464.97

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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.