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Finding the Fourth Proportional to 43,810.80, 65,717.36 and 12,646

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Solution

The fourth proportional to 43,810.80, 65,717.36 and 12,646 is: 18,969.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,810.80 : 65,717.36 = 12,646 : x
  2. Step 2: Convert to fraction form
    43,810.80/65,717.36 = 12,646/x
  3. Step 3: Cross multiply
    43,810.80x = 65,717.36 × 12,646
  4. Step 4: Simplify right side
    43,810.80x = 831,061,734.56
  5. Step 5: Solve for x
    x = 831,061,734.56/43,810.80
  6. Step 6: Final answer
    x = 18,969.33

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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.