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Finding the Fourth Proportional to 36,699.64, 50,629.14 and 21,787

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Solution

The fourth proportional to 36,699.64, 50,629.14 and 21,787 is: 30,056.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,699.64 : 50,629.14 = 21,787 : x
  2. Step 2: Convert to fraction form
    36,699.64/50,629.14 = 21,787/x
  3. Step 3: Cross multiply
    36,699.64x = 50,629.14 × 21,787
  4. Step 4: Simplify right side
    36,699.64x = 1,103,057,073.18
  5. Step 5: Solve for x
    x = 1,103,057,073.18/36,699.64
  6. Step 6: Final answer
    x = 30,056.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.