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Finding the Fourth Proportional to 43,574.50, 65,360.29 and 12,409.75

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Solution

The fourth proportional to 43,574.50, 65,360.29 and 12,409.75 is: 18,614.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,574.50 : 65,360.29 = 12,409.75 : x
  2. Step 2: Convert to fraction form
    43,574.50/65,360.29 = 12,409.75/x
  3. Step 3: Cross multiply
    43,574.50x = 65,360.29 × 12,409.75
  4. Step 4: Simplify right side
    43,574.50x = 811,104,858.83
  5. Step 5: Solve for x
    x = 811,104,858.83/43,574.50
  6. Step 6: Final answer
    x = 18,614.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.