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Finding the Fourth Proportional to 43,356.34, 65,038.84 and 11,766.90

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Solution

The fourth proportional to 43,356.34, 65,038.84 and 11,766.90 is: 17,651.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,356.34 : 65,038.84 = 11,766.90 : x
  2. Step 2: Convert to fraction form
    43,356.34/65,038.84 = 11,766.90/x
  3. Step 3: Cross multiply
    43,356.34x = 65,038.84 × 11,766.90
  4. Step 4: Simplify right side
    43,356.34x = 765,305,526.40
  5. Step 5: Solve for x
    x = 765,305,526.40/43,356.34
  6. Step 6: Final answer
    x = 17,651.53

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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.