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Finding the Fourth Proportional to 18,507.84, 27,757.08 and 7,409.76

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Solution

The fourth proportional to 18,507.84, 27,757.08 and 7,409.76 is: 11,112.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,507.84 : 27,757.08 = 7,409.76 : x
  2. Step 2: Convert to fraction form
    18,507.84/27,757.08 = 7,409.76/x
  3. Step 3: Cross multiply
    18,507.84x = 27,757.08 × 7,409.76
  4. Step 4: Simplify right side
    18,507.84x = 205,673,301.10
  5. Step 5: Solve for x
    x = 205,673,301.10/18,507.84
  6. Step 6: Final answer
    x = 11,112.77

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1.5x scale

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.