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Finding the Fourth Proportional to 12,836, 19,261.68 and 5,540

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Solution

The fourth proportional to 12,836, 19,261.68 and 5,540 is: 8,313.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,836 : 19,261.68 = 5,540 : x
  2. Step 2: Convert to fraction form
    12,836/19,261.68 = 5,540/x
  3. Step 3: Cross multiply
    12,836x = 19,261.68 × 5,540
  4. Step 4: Simplify right side
    12,836x = 106,709,707.20
  5. Step 5: Solve for x
    x = 106,709,707.20/12,836
  6. Step 6: Final answer
    x = 8,313.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.