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Finding the Fourth Proportional to 43,600, 65,400.61 and 12,435.25

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Solution

The fourth proportional to 43,600, 65,400.61 and 12,435.25 is: 18,653.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,600 : 65,400.61 = 12,435.25 : x
  2. Step 2: Convert to fraction form
    43,600/65,400.61 = 12,435.25/x
  3. Step 3: Cross multiply
    43,600x = 65,400.61 × 12,435.25
  4. Step 4: Simplify right side
    43,600x = 813,272,935.50
  5. Step 5: Solve for x
    x = 813,272,935.50/43,600
  6. Step 6: Final answer
    x = 18,653.05

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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.