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Finding the Fourth Proportional to 8,538.90, 12,807.63 and 4,829.46

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Solution

The fourth proportional to 8,538.90, 12,807.63 and 4,829.46 is: 7,243.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.90 : 12,807.63 = 4,829.46 : x
  2. Step 2: Convert to fraction form
    8,538.90/12,807.63 = 4,829.46/x
  3. Step 3: Cross multiply
    8,538.90x = 12,807.63 × 4,829.46
  4. Step 4: Simplify right side
    8,538.90x = 61,853,936.78
  5. Step 5: Solve for x
    x = 61,853,936.78/8,538.90
  6. Step 6: Final answer
    x = 7,243.78

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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.