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Finding the Fourth Proportional to 12,881.28, 19,325.28 and 3,647.28

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Solution

The fourth proportional to 12,881.28, 19,325.28 and 3,647.28 is: 5,471.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,881.28 : 19,325.28 = 3,647.28 : x
  2. Step 2: Convert to fraction form
    12,881.28/19,325.28 = 3,647.28/x
  3. Step 3: Cross multiply
    12,881.28x = 19,325.28 × 3,647.28
  4. Step 4: Simplify right side
    12,881.28x = 70,484,707.24
  5. Step 5: Solve for x
    x = 70,484,707.24/12,881.28
  6. Step 6: Final answer
    x = 5,471.87

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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.