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Finding the Fourth Proportional to 8,538, 11,784.60 and 4,814.16

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Solution

The fourth proportional to 8,538, 11,784.60 and 4,814.16 is: 6,644.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538 : 11,784.60 = 4,814.16 : x
  2. Step 2: Convert to fraction form
    8,538/11,784.60 = 4,814.16/x
  3. Step 3: Cross multiply
    8,538x = 11,784.60 × 4,814.16
  4. Step 4: Simplify right side
    8,538x = 56,732,949.94
  5. Step 5: Solve for x
    x = 56,732,949.94/8,538
  6. Step 6: Final answer
    x = 6,644.76

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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.