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Finding the Fourth Proportional to 8,541.56, 12,814.16 and 2,698.64

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Solution

The fourth proportional to 8,541.56, 12,814.16 and 2,698.64 is: 4,048.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,541.56 : 12,814.16 = 2,698.64 : x
  2. Step 2: Convert to fraction form
    8,541.56/12,814.16 = 2,698.64/x
  3. Step 3: Cross multiply
    8,541.56x = 12,814.16 × 2,698.64
  4. Step 4: Simplify right side
    8,541.56x = 34,580,804.74
  5. Step 5: Solve for x
    x = 34,580,804.74/8,541.56
  6. Step 6: Final answer
    x = 4,048.54

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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.