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Finding the Fourth Proportional to 43,643.40, 65,465.10 and 12,474.60

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Solution

The fourth proportional to 43,643.40, 65,465.10 and 12,474.60 is: 18,711.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,643.40 : 65,465.10 = 12,474.60 : x
  2. Step 2: Convert to fraction form
    43,643.40/65,465.10 = 12,474.60/x
  3. Step 3: Cross multiply
    43,643.40x = 65,465.10 × 12,474.60
  4. Step 4: Simplify right side
    43,643.40x = 816,650,936.46
  5. Step 5: Solve for x
    x = 816,650,936.46/43,643.40
  6. Step 6: Final answer
    x = 18,711.90

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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.