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Finding the Fourth Proportional to 30,892.90, 46,341.31 and 10,899.90

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Solution

The fourth proportional to 30,892.90, 46,341.31 and 10,899.90 is: 16,350.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,892.90 : 46,341.31 = 10,899.90 : x
  2. Step 2: Convert to fraction form
    30,892.90/46,341.31 = 10,899.90/x
  3. Step 3: Cross multiply
    30,892.90x = 46,341.31 × 10,899.90
  4. Step 4: Simplify right side
    30,892.90x = 505,115,644.87
  5. Step 5: Solve for x
    x = 505,115,644.87/30,892.90
  6. Step 6: Final answer
    x = 16,350.54

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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.