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Finding the Fourth Proportional to 46,644, 69,977.84 and 13,812

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Solution

The fourth proportional to 46,644, 69,977.84 and 13,812 is: 20,721.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,644 : 69,977.84 = 13,812 : x
  2. Step 2: Convert to fraction form
    46,644/69,977.84 = 13,812/x
  3. Step 3: Cross multiply
    46,644x = 69,977.84 × 13,812
  4. Step 4: Simplify right side
    46,644x = 966,533,926.08
  5. Step 5: Solve for x
    x = 966,533,926.08/46,644
  6. Step 6: Final answer
    x = 20,721.51

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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.