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Finding the Fourth Proportional to 43,309.66, 64,958.72 and 13,730.48

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Solution

The fourth proportional to 43,309.66, 64,958.72 and 13,730.48 is: 20,593.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,309.66 : 64,958.72 = 13,730.48 : x
  2. Step 2: Convert to fraction form
    43,309.66/64,958.72 = 13,730.48/x
  3. Step 3: Cross multiply
    43,309.66x = 64,958.72 × 13,730.48
  4. Step 4: Simplify right side
    43,309.66x = 891,914,405.79
  5. Step 5: Solve for x
    x = 891,914,405.79/43,309.66
  6. Step 6: Final answer
    x = 20,593.89

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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.