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Finding the Fourth Proportional to 12,881.28, 19,206.54 and 12,648

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Solution

The fourth proportional to 12,881.28, 19,206.54 and 12,648 is: 18,858.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,881.28 : 19,206.54 = 12,648 : x
  2. Step 2: Convert to fraction form
    12,881.28/19,206.54 = 12,648/x
  3. Step 3: Cross multiply
    12,881.28x = 19,206.54 × 12,648
  4. Step 4: Simplify right side
    12,881.28x = 242,924,317.92
  5. Step 5: Solve for x
    x = 242,924,317.92/12,881.28
  6. Step 6: Final answer
    x = 18,858.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.