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Finding the Fourth Proportional to 43,487.52, 65,231.90 and 12,322.77

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Solution

The fourth proportional to 43,487.52, 65,231.90 and 12,322.77 is: 18,484.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,487.52 : 65,231.90 = 12,322.77 : x
  2. Step 2: Convert to fraction form
    43,487.52/65,231.90 = 12,322.77/x
  3. Step 3: Cross multiply
    43,487.52x = 65,231.90 × 12,322.77
  4. Step 4: Simplify right side
    43,487.52x = 803,837,638.75
  5. Step 5: Solve for x
    x = 803,837,638.75/43,487.52
  6. Step 6: Final answer
    x = 18,484.33

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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.