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Finding the Fourth Proportional to 43,594.50, 65,392.36 and 12,429.76

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Solution

The fourth proportional to 43,594.50, 65,392.36 and 12,429.76 is: 18,644.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,594.50 : 65,392.36 = 12,429.76 : x
  2. Step 2: Convert to fraction form
    43,594.50/65,392.36 = 12,429.76/x
  3. Step 3: Cross multiply
    43,594.50x = 65,392.36 × 12,429.76
  4. Step 4: Simplify right side
    43,594.50x = 812,811,340.63
  5. Step 5: Solve for x
    x = 812,811,340.63/43,594.50
  6. Step 6: Final answer
    x = 18,644.81

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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.