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Finding the Fourth Proportional to 8,519.95, 12,781.37 and 4,829.41

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Solution

The fourth proportional to 8,519.95, 12,781.37 and 4,829.41 is: 7,244.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,519.95 : 12,781.37 = 4,829.41 : x
  2. Step 2: Convert to fraction form
    8,519.95/12,781.37 = 4,829.41/x
  3. Step 3: Cross multiply
    8,519.95x = 12,781.37 × 4,829.41
  4. Step 4: Simplify right side
    8,519.95x = 61,726,476.09
  5. Step 5: Solve for x
    x = 61,726,476.09/8,519.95
  6. Step 6: Final answer
    x = 7,244.93

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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.