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Finding the Fourth Proportional to 12,869, 19,303.50 and 3,635.24

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Solution

The fourth proportional to 12,869, 19,303.50 and 3,635.24 is: 5,452.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,869 : 19,303.50 = 3,635.24 : x
  2. Step 2: Convert to fraction form
    12,869/19,303.50 = 3,635.24/x
  3. Step 3: Cross multiply
    12,869x = 19,303.50 × 3,635.24
  4. Step 4: Simplify right side
    12,869x = 70,172,855.34
  5. Step 5: Solve for x
    x = 70,172,855.34/12,869
  6. Step 6: Final answer
    x = 5,452.86

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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.