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Finding the Fourth Proportional to 43,813.41, 65,731.04 and 12,648.66

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Solution

The fourth proportional to 43,813.41, 65,731.04 and 12,648.66 is: 18,976.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,813.41 : 65,731.04 = 12,648.66 : x
  2. Step 2: Convert to fraction form
    43,813.41/65,731.04 = 12,648.66/x
  3. Step 3: Cross multiply
    43,813.41x = 65,731.04 × 12,648.66
  4. Step 4: Simplify right side
    43,813.41x = 831,409,385.25
  5. Step 5: Solve for x
    x = 831,409,385.25/43,813.41
  6. Step 6: Final answer
    x = 18,976.14

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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.