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Finding the Fourth Proportional to 8,538.53, 12,807.07 and 4,829.09

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Solution

The fourth proportional to 8,538.53, 12,807.07 and 4,829.09 is: 7,243.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.53 : 12,807.07 = 4,829.09 : x
  2. Step 2: Convert to fraction form
    8,538.53/12,807.07 = 4,829.09/x
  3. Step 3: Cross multiply
    8,538.53x = 12,807.07 × 4,829.09
  4. Step 4: Simplify right side
    8,538.53x = 61,846,417.56
  5. Step 5: Solve for x
    x = 61,846,417.56/8,538.53
  6. Step 6: Final answer
    x = 7,243.22

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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.