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Finding the Fourth Proportional to 12,254, 18,357.78 and 7,241.38

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Solution

The fourth proportional to 12,254, 18,357.78 and 7,241.38 is: 10,848.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,254 : 18,357.78 = 7,241.38 : x
  2. Step 2: Convert to fraction form
    12,254/18,357.78 = 7,241.38/x
  3. Step 3: Cross multiply
    12,254x = 18,357.78 × 7,241.38
  4. Step 4: Simplify right side
    12,254x = 132,935,660.94
  5. Step 5: Solve for x
    x = 132,935,660.94/12,254
  6. Step 6: Final answer
    x = 10,848.35

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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.