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Finding the Fourth Proportional to 8,558.85, 11,804.90 and 5,412

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Solution

The fourth proportional to 8,558.85, 11,804.90 and 5,412 is: 7,464.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,558.85 : 11,804.90 = 5,412 : x
  2. Step 2: Convert to fraction form
    8,558.85/11,804.90 = 5,412/x
  3. Step 3: Cross multiply
    8,558.85x = 11,804.90 × 5,412
  4. Step 4: Simplify right side
    8,558.85x = 63,888,091.74
  5. Step 5: Solve for x
    x = 63,888,091.74/8,558.85
  6. Step 6: Final answer
    x = 7,464.56

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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.