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Finding the Fourth Proportional to 43,243.40, 64,871.89 and 11,654.70

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Solution

The fourth proportional to 43,243.40, 64,871.89 and 11,654.70 is: 17,483.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,243.40 : 64,871.89 = 11,654.70 : x
  2. Step 2: Convert to fraction form
    43,243.40/64,871.89 = 11,654.70/x
  3. Step 3: Cross multiply
    43,243.40x = 64,871.89 × 11,654.70
  4. Step 4: Simplify right side
    43,243.40x = 756,062,508.88
  5. Step 5: Solve for x
    x = 756,062,508.88/43,243.40
  6. Step 6: Final answer
    x = 17,483.88

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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.