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Finding the Fourth Proportional to 18,507.47, 27,763.64 and 9,742.87

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Solution

The fourth proportional to 18,507.47, 27,763.64 and 9,742.87 is: 14,615.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,507.47 : 27,763.64 = 9,742.87 : x
  2. Step 2: Convert to fraction form
    18,507.47/27,763.64 = 9,742.87/x
  3. Step 3: Cross multiply
    18,507.47x = 27,763.64 × 9,742.87
  4. Step 4: Simplify right side
    18,507.47x = 270,497,401.60
  5. Step 5: Solve for x
    x = 270,497,401.60/18,507.47
  6. Step 6: Final answer
    x = 14,615.58

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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.