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Finding the Fourth Proportional to 43,911.81, 65,863.44 and 12,319.02

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Solution

The fourth proportional to 43,911.81, 65,863.44 and 12,319.02 is: 18,477.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,911.81 : 65,863.44 = 12,319.02 : x
  2. Step 2: Convert to fraction form
    43,911.81/65,863.44 = 12,319.02/x
  3. Step 3: Cross multiply
    43,911.81x = 65,863.44 × 12,319.02
  4. Step 4: Simplify right side
    43,911.81x = 811,373,034.63
  5. Step 5: Solve for x
    x = 811,373,034.63/43,911.81
  6. Step 6: Final answer
    x = 18,477.33

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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.