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Finding the Fourth Proportional to 43,596, 65,394.61 and 12,431.25

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Solution

The fourth proportional to 43,596, 65,394.61 and 12,431.25 is: 18,647.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,596 : 65,394.61 = 12,431.25 : x
  2. Step 2: Convert to fraction form
    43,596/65,394.61 = 12,431.25/x
  3. Step 3: Cross multiply
    43,596x = 65,394.61 × 12,431.25
  4. Step 4: Simplify right side
    43,596x = 812,936,714.48
  5. Step 5: Solve for x
    x = 812,936,714.48/43,596
  6. Step 6: Final answer
    x = 18,647.05

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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.