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Finding the Fourth Proportional to 12,869, 19,303.54 and 3,141

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Solution

The fourth proportional to 12,869, 19,303.54 and 3,141 is: 4,711.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,869 : 19,303.54 = 3,141 : x
  2. Step 2: Convert to fraction form
    12,869/19,303.54 = 3,141/x
  3. Step 3: Cross multiply
    12,869x = 19,303.54 × 3,141
  4. Step 4: Simplify right side
    12,869x = 60,632,419.14
  5. Step 5: Solve for x
    x = 60,632,419.14/12,869
  6. Step 6: Final answer
    x = 4,711.51

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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.