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Finding the Fourth Proportional to 12,877.49, 19,316.04 and 3,517.49

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Solution

The fourth proportional to 12,877.49, 19,316.04 and 3,517.49 is: 5,276.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,877.49 : 19,316.04 = 3,517.49 : x
  2. Step 2: Convert to fraction form
    12,877.49/19,316.04 = 3,517.49/x
  3. Step 3: Cross multiply
    12,877.49x = 19,316.04 × 3,517.49
  4. Step 4: Simplify right side
    12,877.49x = 67,943,977.54
  5. Step 5: Solve for x
    x = 67,943,977.54/12,877.49
  6. Step 6: Final answer
    x = 5,276.18

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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.