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Finding the Fourth Proportional to 43,989.48, 65,874.84 and 30,780

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Solution

The fourth proportional to 43,989.48, 65,874.84 and 30,780 is: 46,093.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,989.48 : 65,874.84 = 30,780 : x
  2. Step 2: Convert to fraction form
    43,989.48/65,874.84 = 30,780/x
  3. Step 3: Cross multiply
    43,989.48x = 65,874.84 × 30,780
  4. Step 4: Simplify right side
    43,989.48x = 2,027,627,575.20
  5. Step 5: Solve for x
    x = 2,027,627,575.20/43,989.48
  6. Step 6: Final answer
    x = 46,093.47

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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.