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Finding the Fourth Proportional to 43,601.75, 65,403.24 and 12,437

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Solution

The fourth proportional to 43,601.75, 65,403.24 and 12,437 is: 18,655.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,601.75 : 65,403.24 = 12,437 : x
  2. Step 2: Convert to fraction form
    43,601.75/65,403.24 = 12,437/x
  3. Step 3: Cross multiply
    43,601.75x = 65,403.24 × 12,437
  4. Step 4: Simplify right side
    43,601.75x = 813,420,095.88
  5. Step 5: Solve for x
    x = 813,420,095.88/43,601.75
  6. Step 6: Final answer
    x = 18,655.68

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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.