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Finding the Fourth Proportional to 13,877, 20,815.50 and 4,643.24

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Solution

The fourth proportional to 13,877, 20,815.50 and 4,643.24 is: 6,964.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,877 : 20,815.50 = 4,643.24 : x
  2. Step 2: Convert to fraction form
    13,877/20,815.50 = 4,643.24/x
  3. Step 3: Cross multiply
    13,877x = 20,815.50 × 4,643.24
  4. Step 4: Simplify right side
    13,877x = 96,651,362.22
  5. Step 5: Solve for x
    x = 96,651,362.22/13,877
  6. Step 6: Final answer
    x = 6,964.86

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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.